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Finding the Fourth Proportional to 21,642.50, 32,439.15 and 9,154.73

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Solution

The fourth proportional to 21,642.50, 32,439.15 and 9,154.73 is: 13,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.50 : 32,439.15 = 9,154.73 : x
  2. Step 2: Convert to fraction form
    21,642.50/32,439.15 = 9,154.73/x
  3. Step 3: Cross multiply
    21,642.50x = 32,439.15 × 9,154.73
  4. Step 4: Simplify right side
    21,642.50x = 296,971,659.68
  5. Step 5: Solve for x
    x = 296,971,659.68/21,642.50
  6. Step 6: Final answer
    x = 13,721.69

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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.