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Finding the Fourth Proportional to 15,197.29, 20,972.32 and 9,224.96

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Solution

The fourth proportional to 15,197.29, 20,972.32 and 9,224.96 is: 12,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.29 : 20,972.32 = 9,224.96 : x
  2. Step 2: Convert to fraction form
    15,197.29/20,972.32 = 9,224.96/x
  3. Step 3: Cross multiply
    15,197.29x = 20,972.32 × 9,224.96
  4. Step 4: Simplify right side
    15,197.29x = 193,468,685.18
  5. Step 5: Solve for x
    x = 193,468,685.18/15,197.29
  6. Step 6: Final answer
    x = 12,730.47

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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.