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Finding the Fourth Proportional to 22,655.68, 31,265.03 and 12,584.30

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Solution

The fourth proportional to 22,655.68, 31,265.03 and 12,584.30 is: 17,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.68 : 31,265.03 = 12,584.30 : x
  2. Step 2: Convert to fraction form
    22,655.68/31,265.03 = 12,584.30/x
  3. Step 3: Cross multiply
    22,655.68x = 31,265.03 × 12,584.30
  4. Step 4: Simplify right side
    22,655.68x = 393,448,517.03
  5. Step 5: Solve for x
    x = 393,448,517.03/22,655.68
  6. Step 6: Final answer
    x = 17,366.44

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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.