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Finding the Fourth Proportional to 24,638.38, 34,000.96 and 13,307.87

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Solution

The fourth proportional to 24,638.38, 34,000.96 and 13,307.87 is: 18,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.38 : 34,000.96 = 13,307.87 : x
  2. Step 2: Convert to fraction form
    24,638.38/34,000.96 = 13,307.87/x
  3. Step 3: Cross multiply
    24,638.38x = 34,000.96 × 13,307.87
  4. Step 4: Simplify right side
    24,638.38x = 452,480,355.56
  5. Step 5: Solve for x
    x = 452,480,355.56/24,638.38
  6. Step 6: Final answer
    x = 18,364.86

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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.