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Finding the Fourth Proportional to 25,854.74, 38,782.91 and 8,086.05

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Solution

The fourth proportional to 25,854.74, 38,782.91 and 8,086.05 is: 12,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.74 : 38,782.91 = 8,086.05 : x
  2. Step 2: Convert to fraction form
    25,854.74/38,782.91 = 8,086.05/x
  3. Step 3: Cross multiply
    25,854.74x = 38,782.91 × 8,086.05
  4. Step 4: Simplify right side
    25,854.74x = 313,600,569.62
  5. Step 5: Solve for x
    x = 313,600,569.62/25,854.74
  6. Step 6: Final answer
    x = 12,129.32

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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.