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Finding the Fourth Proportional to 25,814.72, 38,718.42 and 8,282.24

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Solution

The fourth proportional to 25,814.72, 38,718.42 and 8,282.24 is: 12,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.72 : 38,718.42 = 8,282.24 : x
  2. Step 2: Convert to fraction form
    25,814.72/38,718.42 = 8,282.24/x
  3. Step 3: Cross multiply
    25,814.72x = 38,718.42 × 8,282.24
  4. Step 4: Simplify right side
    25,814.72x = 320,675,246.86
  5. Step 5: Solve for x
    x = 320,675,246.86/25,814.72
  6. Step 6: Final answer
    x = 12,422.19

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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.