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Finding the Fourth Proportional to 24,659, 34,029.42 and 13,481

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Solution

The fourth proportional to 24,659, 34,029.42 and 13,481 is: 18,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659 : 34,029.42 = 13,481 : x
  2. Step 2: Convert to fraction form
    24,659/34,029.42 = 13,481/x
  3. Step 3: Cross multiply
    24,659x = 34,029.42 × 13,481
  4. Step 4: Simplify right side
    24,659x = 458,750,611.02
  5. Step 5: Solve for x
    x = 458,750,611.02/24,659
  6. Step 6: Final answer
    x = 18,603.78

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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.