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Finding the Fourth Proportional to 16,196.76, 24,294.16 and 9,537

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Solution

The fourth proportional to 16,196.76, 24,294.16 and 9,537 is: 14,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.76 : 24,294.16 = 9,537 : x
  2. Step 2: Convert to fraction form
    16,196.76/24,294.16 = 9,537/x
  3. Step 3: Cross multiply
    16,196.76x = 24,294.16 × 9,537
  4. Step 4: Simplify right side
    16,196.76x = 231,693,403.92
  5. Step 5: Solve for x
    x = 231,693,403.92/16,196.76
  6. Step 6: Final answer
    x = 14,304.92

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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.