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Finding the Fourth Proportional to 25,613.60, 38,424.24 and 8,083.17

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Solution

The fourth proportional to 25,613.60, 38,424.24 and 8,083.17 is: 12,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.60 : 38,424.24 = 8,083.17 : x
  2. Step 2: Convert to fraction form
    25,613.60/38,424.24 = 8,083.17/x
  3. Step 3: Cross multiply
    25,613.60x = 38,424.24 × 8,083.17
  4. Step 4: Simplify right side
    25,613.60x = 310,589,664.04
  5. Step 5: Solve for x
    x = 310,589,664.04/25,613.60
  6. Step 6: Final answer
    x = 12,125.97

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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.