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Finding the Fourth Proportional to 13,502.39, 18,631.89 and 7,452.52

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Solution

The fourth proportional to 13,502.39, 18,631.89 and 7,452.52 is: 10,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.39 : 18,631.89 = 7,452.52 : x
  2. Step 2: Convert to fraction form
    13,502.39/18,631.89 = 7,452.52/x
  3. Step 3: Cross multiply
    13,502.39x = 18,631.89 × 7,452.52
  4. Step 4: Simplify right side
    13,502.39x = 138,854,608.55
  5. Step 5: Solve for x
    x = 138,854,608.55/13,502.39
  6. Step 6: Final answer
    x = 10,283.70

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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.