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Finding the Fourth Proportional to 25,989.25, 38,986.31 and 8,454.37

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Solution

The fourth proportional to 25,989.25, 38,986.31 and 8,454.37 is: 12,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,989.25 : 38,986.31 = 8,454.37 : x
  2. Step 2: Convert to fraction form
    25,989.25/38,986.31 = 8,454.37/x
  3. Step 3: Cross multiply
    25,989.25x = 38,986.31 × 8,454.37
  4. Step 4: Simplify right side
    25,989.25x = 329,604,689.67
  5. Step 5: Solve for x
    x = 329,604,689.67/25,989.25
  6. Step 6: Final answer
    x = 12,682.35

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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.