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Finding the Fourth Proportional to 25,616.85, 38,429.12 and 8,086.42

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Solution

The fourth proportional to 25,616.85, 38,429.12 and 8,086.42 is: 12,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.85 : 38,429.12 = 8,086.42 : x
  2. Step 2: Convert to fraction form
    25,616.85/38,429.12 = 8,086.42/x
  3. Step 3: Cross multiply
    25,616.85x = 38,429.12 × 8,086.42
  4. Step 4: Simplify right side
    25,616.85x = 310,754,004.55
  5. Step 5: Solve for x
    x = 310,754,004.55/25,616.85
  6. Step 6: Final answer
    x = 12,130.84

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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.