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Finding the Fourth Proportional to 18,571.68, 27,870.48 and 8,177.76

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Solution

The fourth proportional to 18,571.68, 27,870.48 and 8,177.76 is: 12,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.68 : 27,870.48 = 8,177.76 : x
  2. Step 2: Convert to fraction form
    18,571.68/27,870.48 = 8,177.76/x
  3. Step 3: Cross multiply
    18,571.68x = 27,870.48 × 8,177.76
  4. Step 4: Simplify right side
    18,571.68x = 227,918,096.52
  5. Step 5: Solve for x
    x = 227,918,096.52/18,571.68
  6. Step 6: Final answer
    x = 12,272.35

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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.