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Finding the Fourth Proportional to 27,562.31, 38,034.87 and 16,232.28

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Solution

The fourth proportional to 27,562.31, 38,034.87 and 16,232.28 is: 22,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.31 : 38,034.87 = 16,232.28 : x
  2. Step 2: Convert to fraction form
    27,562.31/38,034.87 = 16,232.28/x
  3. Step 3: Cross multiply
    27,562.31x = 38,034.87 × 16,232.28
  4. Step 4: Simplify right side
    27,562.31x = 617,392,659.60
  5. Step 5: Solve for x
    x = 617,392,659.60/27,562.31
  6. Step 6: Final answer
    x = 22,399.89

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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.