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Finding the Fourth Proportional to 23,232.40, 34,801.80 and 16,188.40

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Solution

The fourth proportional to 23,232.40, 34,801.80 and 16,188.40 is: 24,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.40 : 34,801.80 = 16,188.40 : x
  2. Step 2: Convert to fraction form
    23,232.40/34,801.80 = 16,188.40/x
  3. Step 3: Cross multiply
    23,232.40x = 34,801.80 × 16,188.40
  4. Step 4: Simplify right side
    23,232.40x = 563,385,459.12
  5. Step 5: Solve for x
    x = 563,385,459.12/23,232.40
  6. Step 6: Final answer
    x = 24,249.99

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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.