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Finding the Fourth Proportional to 22,272.18, 33,408.24 and 9,124.57

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Solution

The fourth proportional to 22,272.18, 33,408.24 and 9,124.57 is: 13,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.18 : 33,408.24 = 9,124.57 : x
  2. Step 2: Convert to fraction form
    22,272.18/33,408.24 = 9,124.57/x
  3. Step 3: Cross multiply
    22,272.18x = 33,408.24 × 9,124.57
  4. Step 4: Simplify right side
    22,272.18x = 304,835,824.46
  5. Step 5: Solve for x
    x = 304,835,824.46/22,272.18
  6. Step 6: Final answer
    x = 13,686.85

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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.