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Finding the Fourth Proportional to 25,749.68, 38,625.89 and 8,218.13

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Solution

The fourth proportional to 25,749.68, 38,625.89 and 8,218.13 is: 12,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749.68 : 38,625.89 = 8,218.13 : x
  2. Step 2: Convert to fraction form
    25,749.68/38,625.89 = 8,218.13/x
  3. Step 3: Cross multiply
    25,749.68x = 38,625.89 × 8,218.13
  4. Step 4: Simplify right side
    25,749.68x = 317,432,351.17
  5. Step 5: Solve for x
    x = 317,432,351.17/25,749.68
  6. Step 6: Final answer
    x = 12,327.63

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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.