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Finding the Fourth Proportional to 24,098.98, 33,257.87 and 15,143.17

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Solution

The fourth proportional to 24,098.98, 33,257.87 and 15,143.17 is: 20,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,098.98 : 33,257.87 = 15,143.17 : x
  2. Step 2: Convert to fraction form
    24,098.98/33,257.87 = 15,143.17/x
  3. Step 3: Cross multiply
    24,098.98x = 33,257.87 × 15,143.17
  4. Step 4: Simplify right side
    24,098.98x = 503,629,579.25
  5. Step 5: Solve for x
    x = 503,629,579.25/24,098.98
  6. Step 6: Final answer
    x = 20,898.38

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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.