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Finding the Fourth Proportional to 27,147.60, 37,456.56 and 16,542

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Solution

The fourth proportional to 27,147.60, 37,456.56 and 16,542 is: 22,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.60 : 37,456.56 = 16,542 : x
  2. Step 2: Convert to fraction form
    27,147.60/37,456.56 = 16,542/x
  3. Step 3: Cross multiply
    27,147.60x = 37,456.56 × 16,542
  4. Step 4: Simplify right side
    27,147.60x = 619,606,415.52
  5. Step 5: Solve for x
    x = 619,606,415.52/27,147.60
  6. Step 6: Final answer
    x = 22,823.62

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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.