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Finding the Fourth Proportional to 25,712.29, 38,571.27 and 8,178.02

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Solution

The fourth proportional to 25,712.29, 38,571.27 and 8,178.02 is: 12,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.29 : 38,571.27 = 8,178.02 : x
  2. Step 2: Convert to fraction form
    25,712.29/38,571.27 = 8,178.02/x
  3. Step 3: Cross multiply
    25,712.29x = 38,571.27 × 8,178.02
  4. Step 4: Simplify right side
    25,712.29x = 315,436,393.96
  5. Step 5: Solve for x
    x = 315,436,393.96/25,712.29
  6. Step 6: Final answer
    x = 12,267.92

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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.