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Finding the Fourth Proportional to 25,716.30, 38,577.45 and 8,187.90

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Solution

The fourth proportional to 25,716.30, 38,577.45 and 8,187.90 is: 12,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.30 : 38,577.45 = 8,187.90 : x
  2. Step 2: Convert to fraction form
    25,716.30/38,577.45 = 8,187.90/x
  3. Step 3: Cross multiply
    25,716.30x = 38,577.45 × 8,187.90
  4. Step 4: Simplify right side
    25,716.30x = 315,868,302.86
  5. Step 5: Solve for x
    x = 315,868,302.86/25,716.30
  6. Step 6: Final answer
    x = 12,282.81

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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.