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Finding the Fourth Proportional to 25,616.88, 38,418.84 and 8,077.68

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Solution

The fourth proportional to 25,616.88, 38,418.84 and 8,077.68 is: 12,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.88 : 38,418.84 = 8,077.68 : x
  2. Step 2: Convert to fraction form
    25,616.88/38,418.84 = 8,077.68/x
  3. Step 3: Cross multiply
    25,616.88x = 38,418.84 × 8,077.68
  4. Step 4: Simplify right side
    25,616.88x = 310,335,095.49
  5. Step 5: Solve for x
    x = 310,335,095.49/25,616.88
  6. Step 6: Final answer
    x = 12,114.48

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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.