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Finding the Fourth Proportional to 22,152.84, 33,238.10 and 9,006.24

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Solution

The fourth proportional to 22,152.84, 33,238.10 and 9,006.24 is: 13,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.84 : 33,238.10 = 9,006.24 : x
  2. Step 2: Convert to fraction form
    22,152.84/33,238.10 = 9,006.24/x
  3. Step 3: Cross multiply
    22,152.84x = 33,238.10 × 9,006.24
  4. Step 4: Simplify right side
    22,152.84x = 299,350,305.74
  5. Step 5: Solve for x
    x = 299,350,305.74/22,152.84
  6. Step 6: Final answer
    x = 13,512.95

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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.