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Finding the Fourth Proportional to 22,842.72, 34,244.64 and 9,001.44

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Solution

The fourth proportional to 22,842.72, 34,244.64 and 9,001.44 is: 13,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.72 : 34,244.64 = 9,001.44 : x
  2. Step 2: Convert to fraction form
    22,842.72/34,244.64 = 9,001.44/x
  3. Step 3: Cross multiply
    22,842.72x = 34,244.64 × 9,001.44
  4. Step 4: Simplify right side
    22,842.72x = 308,251,072.28
  5. Step 5: Solve for x
    x = 308,251,072.28/22,842.72
  6. Step 6: Final answer
    x = 13,494.50

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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.