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Finding the Fourth Proportional to 27,747.31, 38,288.31 and 16,417.24

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Solution

The fourth proportional to 27,747.31, 38,288.31 and 16,417.24 is: 22,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747.31 : 38,288.31 = 16,417.24 : x
  2. Step 2: Convert to fraction form
    27,747.31/38,288.31 = 16,417.24/x
  3. Step 3: Cross multiply
    27,747.31x = 38,288.31 × 16,417.24
  4. Step 4: Simplify right side
    27,747.31x = 628,588,374.46
  5. Step 5: Solve for x
    x = 628,588,374.46/27,747.31
  6. Step 6: Final answer
    x = 22,654.03

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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.