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Finding the Fourth Proportional to 25,126, 37,689 and 10,342.96

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Solution

The fourth proportional to 25,126, 37,689 and 10,342.96 is: 15,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,126 : 37,689 = 10,342.96 : x
  2. Step 2: Convert to fraction form
    25,126/37,689 = 10,342.96/x
  3. Step 3: Cross multiply
    25,126x = 37,689 × 10,342.96
  4. Step 4: Simplify right side
    25,126x = 389,815,819.44
  5. Step 5: Solve for x
    x = 389,815,819.44/25,126
  6. Step 6: Final answer
    x = 15,514.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.