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Finding the Fourth Proportional to 22,702.28, 31,324.05 and 13,749.62

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Solution

The fourth proportional to 22,702.28, 31,324.05 and 13,749.62 is: 18,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.28 : 31,324.05 = 13,749.62 : x
  2. Step 2: Convert to fraction form
    22,702.28/31,324.05 = 13,749.62/x
  3. Step 3: Cross multiply
    22,702.28x = 31,324.05 × 13,749.62
  4. Step 4: Simplify right side
    22,702.28x = 430,693,627.74
  5. Step 5: Solve for x
    x = 430,693,627.74/22,702.28
  6. Step 6: Final answer
    x = 18,971.39

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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.