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Finding the Fourth Proportional to 24,884.31, 34,339.32 and 13,553.85

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Solution

The fourth proportional to 24,884.31, 34,339.32 and 13,553.85 is: 18,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.31 : 34,339.32 = 13,553.85 : x
  2. Step 2: Convert to fraction form
    24,884.31/34,339.32 = 13,553.85/x
  3. Step 3: Cross multiply
    24,884.31x = 34,339.32 × 13,553.85
  4. Step 4: Simplify right side
    24,884.31x = 465,429,992.38
  5. Step 5: Solve for x
    x = 465,429,992.38/24,884.31
  6. Step 6: Final answer
    x = 18,703.75

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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.