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Finding the Fourth Proportional to 27,240.34, 40,864.62 and 9,708.82

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Solution

The fourth proportional to 27,240.34, 40,864.62 and 9,708.82 is: 14,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240.34 : 40,864.62 = 9,708.82 : x
  2. Step 2: Convert to fraction form
    27,240.34/40,864.62 = 9,708.82/x
  3. Step 3: Cross multiply
    27,240.34x = 40,864.62 × 9,708.82
  4. Step 4: Simplify right side
    27,240.34x = 396,747,239.95
  5. Step 5: Solve for x
    x = 396,747,239.95/27,240.34
  6. Step 6: Final answer
    x = 14,564.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.