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Finding the Fourth Proportional to 16,447.50, 24,677.42 and 9,878.40

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Solution

The fourth proportional to 16,447.50, 24,677.42 and 9,878.40 is: 14,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.50 : 24,677.42 = 9,878.40 : x
  2. Step 2: Convert to fraction form
    16,447.50/24,677.42 = 9,878.40/x
  3. Step 3: Cross multiply
    16,447.50x = 24,677.42 × 9,878.40
  4. Step 4: Simplify right side
    16,447.50x = 243,773,376.34
  5. Step 5: Solve for x
    x = 243,773,376.34/16,447.50
  6. Step 6: Final answer
    x = 14,821.30

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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.