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Finding the Fourth Proportional to 25,712.94, 38,561.14 and 8,178.66

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Solution

The fourth proportional to 25,712.94, 38,561.14 and 8,178.66 is: 12,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.94 : 38,561.14 = 8,178.66 : x
  2. Step 2: Convert to fraction form
    25,712.94/38,561.14 = 8,178.66/x
  3. Step 3: Cross multiply
    25,712.94x = 38,561.14 × 8,178.66
  4. Step 4: Simplify right side
    25,712.94x = 315,378,453.27
  5. Step 5: Solve for x
    x = 315,378,453.27/25,712.94
  6. Step 6: Final answer
    x = 12,265.36

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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.