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Finding the Fourth Proportional to 21,781.64, 32,658.42 and 9,309.80

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Solution

The fourth proportional to 21,781.64, 32,658.42 and 9,309.80 is: 13,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.64 : 32,658.42 = 9,309.80 : x
  2. Step 2: Convert to fraction form
    21,781.64/32,658.42 = 9,309.80/x
  3. Step 3: Cross multiply
    21,781.64x = 32,658.42 × 9,309.80
  4. Step 4: Simplify right side
    21,781.64x = 304,043,358.52
  5. Step 5: Solve for x
    x = 304,043,358.52/21,781.64
  6. Step 6: Final answer
    x = 13,958.70

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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.