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Finding the Fourth Proportional to 15,229.62, 22,781.25 and 14,296.50

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Solution

The fourth proportional to 15,229.62, 22,781.25 and 14,296.50 is: 21,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.62 : 22,781.25 = 14,296.50 : x
  2. Step 2: Convert to fraction form
    15,229.62/22,781.25 = 14,296.50/x
  3. Step 3: Cross multiply
    15,229.62x = 22,781.25 × 14,296.50
  4. Step 4: Simplify right side
    15,229.62x = 325,692,140.63
  5. Step 5: Solve for x
    x = 325,692,140.63/15,229.62
  6. Step 6: Final answer
    x = 21,385.44

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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.