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Finding the Fourth Proportional to 22,468.88, 31,001.53 and 13,735.34

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Solution

The fourth proportional to 22,468.88, 31,001.53 and 13,735.34 is: 18,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.88 : 31,001.53 = 13,735.34 : x
  2. Step 2: Convert to fraction form
    22,468.88/31,001.53 = 13,735.34/x
  3. Step 3: Cross multiply
    22,468.88x = 31,001.53 × 13,735.34
  4. Step 4: Simplify right side
    22,468.88x = 425,816,614.24
  5. Step 5: Solve for x
    x = 425,816,614.24/22,468.88
  6. Step 6: Final answer
    x = 18,951.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.