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Finding the Fourth Proportional to 24,709.92, 34,097.34 and 14,638.38

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Solution

The fourth proportional to 24,709.92, 34,097.34 and 14,638.38 is: 20,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.92 : 34,097.34 = 14,638.38 : x
  2. Step 2: Convert to fraction form
    24,709.92/34,097.34 = 14,638.38/x
  3. Step 3: Cross multiply
    24,709.92x = 34,097.34 × 14,638.38
  4. Step 4: Simplify right side
    24,709.92x = 499,129,819.91
  5. Step 5: Solve for x
    x = 499,129,819.91/24,709.92
  6. Step 6: Final answer
    x = 20,199.57

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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.