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Finding the Fourth Proportional to 22,304.86, 33,428.13 and 9,141.82

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Solution

The fourth proportional to 22,304.86, 33,428.13 and 9,141.82 is: 13,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.86 : 33,428.13 = 9,141.82 : x
  2. Step 2: Convert to fraction form
    22,304.86/33,428.13 = 9,141.82/x
  3. Step 3: Cross multiply
    22,304.86x = 33,428.13 × 9,141.82
  4. Step 4: Simplify right side
    22,304.86x = 305,593,947.40
  5. Step 5: Solve for x
    x = 305,593,947.40/22,304.86
  6. Step 6: Final answer
    x = 13,700.78

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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.