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Finding the Fourth Proportional to 22,342.65, 33,493.13 and 7,541.21

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Solution

The fourth proportional to 22,342.65, 33,493.13 and 7,541.21 is: 11,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.65 : 33,493.13 = 7,541.21 : x
  2. Step 2: Convert to fraction form
    22,342.65/33,493.13 = 7,541.21/x
  3. Step 3: Cross multiply
    22,342.65x = 33,493.13 × 7,541.21
  4. Step 4: Simplify right side
    22,342.65x = 252,578,801.19
  5. Step 5: Solve for x
    x = 252,578,801.19/22,342.65
  6. Step 6: Final answer
    x = 11,304.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.