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Finding the Fourth Proportional to 27,132.50, 37,450.14 and 17,713.82

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Solution

The fourth proportional to 27,132.50, 37,450.14 and 17,713.82 is: 24,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.50 : 37,450.14 = 17,713.82 : x
  2. Step 2: Convert to fraction form
    27,132.50/37,450.14 = 17,713.82/x
  3. Step 3: Cross multiply
    27,132.50x = 37,450.14 × 17,713.82
  4. Step 4: Simplify right side
    27,132.50x = 663,385,038.93
  5. Step 5: Solve for x
    x = 663,385,038.93/27,132.50
  6. Step 6: Final answer
    x = 24,449.83

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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.