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Finding the Fourth Proportional to 16,202.73, 22,359.75 and 9,129.21

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Solution

The fourth proportional to 16,202.73, 22,359.75 and 9,129.21 is: 12,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.73 : 22,359.75 = 9,129.21 : x
  2. Step 2: Convert to fraction form
    16,202.73/22,359.75 = 9,129.21/x
  3. Step 3: Cross multiply
    16,202.73x = 22,359.75 × 9,129.21
  4. Step 4: Simplify right side
    16,202.73x = 204,126,853.30
  5. Step 5: Solve for x
    x = 204,126,853.30/16,202.73
  6. Step 6: Final answer
    x = 12,598.30

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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.