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Finding the Fourth Proportional to 16,400.10, 24,585.02 and 6,537

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Solution

The fourth proportional to 16,400.10, 24,585.02 and 6,537 is: 9,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.10 : 24,585.02 = 6,537 : x
  2. Step 2: Convert to fraction form
    16,400.10/24,585.02 = 6,537/x
  3. Step 3: Cross multiply
    16,400.10x = 24,585.02 × 6,537
  4. Step 4: Simplify right side
    16,400.10x = 160,712,275.74
  5. Step 5: Solve for x
    x = 160,712,275.74/16,400.10
  6. Step 6: Final answer
    x = 9,799.47

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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.