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Finding the Fourth Proportional to 16,232.30, 22,400.56 and 9,160.22

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Solution

The fourth proportional to 16,232.30, 22,400.56 and 9,160.22 is: 12,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.30 : 22,400.56 = 9,160.22 : x
  2. Step 2: Convert to fraction form
    16,232.30/22,400.56 = 9,160.22/x
  3. Step 3: Cross multiply
    16,232.30x = 22,400.56 × 9,160.22
  4. Step 4: Simplify right side
    16,232.30x = 205,194,057.72
  5. Step 5: Solve for x
    x = 205,194,057.72/16,232.30
  6. Step 6: Final answer
    x = 12,641.10

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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.