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Finding the Fourth Proportional to 21,321.43, 31,981.23 and 7,282.71

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Solution

The fourth proportional to 21,321.43, 31,981.23 and 7,282.71 is: 10,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.43 : 31,981.23 = 7,282.71 : x
  2. Step 2: Convert to fraction form
    21,321.43/31,981.23 = 7,282.71/x
  3. Step 3: Cross multiply
    21,321.43x = 31,981.23 × 7,282.71
  4. Step 4: Simplify right side
    21,321.43x = 232,910,023.53
  5. Step 5: Solve for x
    x = 232,910,023.53/21,321.43
  6. Step 6: Final answer
    x = 10,923.75

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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.