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Finding the Fourth Proportional to 25,630.68, 38,446.20 and 7,162.68

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Solution

The fourth proportional to 25,630.68, 38,446.20 and 7,162.68 is: 10,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630.68 : 38,446.20 = 7,162.68 : x
  2. Step 2: Convert to fraction form
    25,630.68/38,446.20 = 7,162.68/x
  3. Step 3: Cross multiply
    25,630.68x = 38,446.20 × 7,162.68
  4. Step 4: Simplify right side
    25,630.68x = 275,377,827.82
  5. Step 5: Solve for x
    x = 275,377,827.82/25,630.68
  6. Step 6: Final answer
    x = 10,744.07

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