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Finding the Fourth Proportional to 24,853, 34,297.86 and 13,675

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Solution

The fourth proportional to 24,853, 34,297.86 and 13,675 is: 18,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853 : 34,297.86 = 13,675 : x
  2. Step 2: Convert to fraction form
    24,853/34,297.86 = 13,675/x
  3. Step 3: Cross multiply
    24,853x = 34,297.86 × 13,675
  4. Step 4: Simplify right side
    24,853x = 469,023,235.50
  5. Step 5: Solve for x
    x = 469,023,235.50/24,853
  6. Step 6: Final answer
    x = 18,871.90

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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.