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Finding the Fourth Proportional to 16,078.29, 24,098.82 and 9,510

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Solution

The fourth proportional to 16,078.29, 24,098.82 and 9,510 is: 14,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.29 : 24,098.82 = 9,510 : x
  2. Step 2: Convert to fraction form
    16,078.29/24,098.82 = 9,510/x
  3. Step 3: Cross multiply
    16,078.29x = 24,098.82 × 9,510
  4. Step 4: Simplify right side
    16,078.29x = 229,179,778.20
  5. Step 5: Solve for x
    x = 229,179,778.20/16,078.29
  6. Step 6: Final answer
    x = 14,253.99

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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.