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Finding the Fourth Proportional to 16,737.92, 23,098.57 and 9,184.12

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Solution

The fourth proportional to 16,737.92, 23,098.57 and 9,184.12 is: 12,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.92 : 23,098.57 = 9,184.12 : x
  2. Step 2: Convert to fraction form
    16,737.92/23,098.57 = 9,184.12/x
  3. Step 3: Cross multiply
    16,737.92x = 23,098.57 × 9,184.12
  4. Step 4: Simplify right side
    16,737.92x = 212,140,038.71
  5. Step 5: Solve for x
    x = 212,140,038.71/16,737.92
  6. Step 6: Final answer
    x = 12,674.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.