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Finding the Fourth Proportional to 16,353.12, 22,568 and 9,280.20

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Solution

The fourth proportional to 16,353.12, 22,568 and 9,280.20 is: 12,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.12 : 22,568 = 9,280.20 : x
  2. Step 2: Convert to fraction form
    16,353.12/22,568 = 9,280.20/x
  3. Step 3: Cross multiply
    16,353.12x = 22,568 × 9,280.20
  4. Step 4: Simplify right side
    16,353.12x = 209,435,553.60
  5. Step 5: Solve for x
    x = 209,435,553.60/16,353.12
  6. Step 6: Final answer
    x = 12,807.07

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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.