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Finding the Fourth Proportional to 16,402.50, 24,552.72 and 15,877.62

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Solution

The fourth proportional to 16,402.50, 24,552.72 and 15,877.62 is: 23,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.50 : 24,552.72 = 15,877.62 : x
  2. Step 2: Convert to fraction form
    16,402.50/24,552.72 = 15,877.62/x
  3. Step 3: Cross multiply
    16,402.50x = 24,552.72 × 15,877.62
  4. Step 4: Simplify right side
    16,402.50x = 389,838,758.13
  5. Step 5: Solve for x
    x = 389,838,758.13/16,402.50
  6. Step 6: Final answer
    x = 23,767.03

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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.