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Finding the Fourth Proportional to 27,098.22, 40,637.24 and 9,323.92

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Solution

The fourth proportional to 27,098.22, 40,637.24 and 9,323.92 is: 13,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.22 : 40,637.24 = 9,323.92 : x
  2. Step 2: Convert to fraction form
    27,098.22/40,637.24 = 9,323.92/x
  3. Step 3: Cross multiply
    27,098.22x = 40,637.24 × 9,323.92
  4. Step 4: Simplify right side
    27,098.22x = 378,898,374.78
  5. Step 5: Solve for x
    x = 378,898,374.78/27,098.22
  6. Step 6: Final answer
    x = 13,982.41

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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.