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Finding the Fourth Proportional to 16,397,323.40, 24,595,985.10 and 13,208,677.40

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Solution

The fourth proportional to 16,397,323.40, 24,595,985.10 and 13,208,677.40 is: 19,813,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397,323.40 : 24,595,985.10 = 13,208,677.40 : x
  2. Step 2: Convert to fraction form
    16,397,323.40/24,595,985.10 = 13,208,677.40/x
  3. Step 3: Cross multiply
    16,397,323.40x = 24,595,985.10 × 13,208,677.40
  4. Step 4: Simplify right side
    16,397,323.40x = 324,880,432,521,106.75
  5. Step 5: Solve for x
    x = 324,880,432,521,106.75/16,397,323.40
  6. Step 6: Final answer
    x = 19,813,016.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.