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Finding the Fourth Proportional to 22,135.71, 33,200.19 and 7,342.77

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Solution

The fourth proportional to 22,135.71, 33,200.19 and 7,342.77 is: 11,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.71 : 33,200.19 = 7,342.77 : x
  2. Step 2: Convert to fraction form
    22,135.71/33,200.19 = 7,342.77/x
  3. Step 3: Cross multiply
    22,135.71x = 33,200.19 × 7,342.77
  4. Step 4: Simplify right side
    22,135.71x = 243,781,359.13
  5. Step 5: Solve for x
    x = 243,781,359.13/22,135.71
  6. Step 6: Final answer
    x = 11,013.04

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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.