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Finding the Fourth Proportional to 16,684.96, 25,001.52 and 10,516

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Solution

The fourth proportional to 16,684.96, 25,001.52 and 10,516 is: 15,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.96 : 25,001.52 = 10,516 : x
  2. Step 2: Convert to fraction form
    16,684.96/25,001.52 = 10,516/x
  3. Step 3: Cross multiply
    16,684.96x = 25,001.52 × 10,516
  4. Step 4: Simplify right side
    16,684.96x = 262,915,984.32
  5. Step 5: Solve for x
    x = 262,915,984.32/16,684.96
  6. Step 6: Final answer
    x = 15,757.66

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