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Finding the Fourth Proportional to 22,318.25, 33,447.98 and 10,470.17

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Solution

The fourth proportional to 22,318.25, 33,447.98 and 10,470.17 is: 15,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318.25 : 33,447.98 = 10,470.17 : x
  2. Step 2: Convert to fraction form
    22,318.25/33,447.98 = 10,470.17/x
  3. Step 3: Cross multiply
    22,318.25x = 33,447.98 × 10,470.17
  4. Step 4: Simplify right side
    22,318.25x = 350,206,146.55
  5. Step 5: Solve for x
    x = 350,206,146.55/22,318.25
  6. Step 6: Final answer
    x = 15,691.47

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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.