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Finding the Fourth Proportional to 16,363.20, 22,583.76 and 9,288.16

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Solution

The fourth proportional to 16,363.20, 22,583.76 and 9,288.16 is: 12,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363.20 : 22,583.76 = 9,288.16 : x
  2. Step 2: Convert to fraction form
    16,363.20/22,583.76 = 9,288.16/x
  3. Step 3: Cross multiply
    16,363.20x = 22,583.76 × 9,288.16
  4. Step 4: Simplify right side
    16,363.20x = 209,761,576.28
  5. Step 5: Solve for x
    x = 209,761,576.28/16,363.20
  6. Step 6: Final answer
    x = 12,819.10

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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.