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Finding the Fourth Proportional to 22,006.28, 30,365.75 and 12,447.47

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Solution

The fourth proportional to 22,006.28, 30,365.75 and 12,447.47 is: 17,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.28 : 30,365.75 = 12,447.47 : x
  2. Step 2: Convert to fraction form
    22,006.28/30,365.75 = 12,447.47/x
  3. Step 3: Cross multiply
    22,006.28x = 30,365.75 × 12,447.47
  4. Step 4: Simplify right side
    22,006.28x = 377,976,869.19
  5. Step 5: Solve for x
    x = 377,976,869.19/22,006.28
  6. Step 6: Final answer
    x = 17,175.86

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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.