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Finding the Fourth Proportional to 17,759.68, 24,508.22 and 9,801.92

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Solution

The fourth proportional to 17,759.68, 24,508.22 and 9,801.92 is: 13,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,759.68 : 24,508.22 = 9,801.92 : x
  2. Step 2: Convert to fraction form
    17,759.68/24,508.22 = 9,801.92/x
  3. Step 3: Cross multiply
    17,759.68x = 24,508.22 × 9,801.92
  4. Step 4: Simplify right side
    17,759.68x = 240,227,611.78
  5. Step 5: Solve for x
    x = 240,227,611.78/17,759.68
  6. Step 6: Final answer
    x = 13,526.57

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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.