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Finding the Fourth Proportional to 18,102.78, 27,132.30 and 8,228.52

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Solution

The fourth proportional to 18,102.78, 27,132.30 and 8,228.52 is: 12,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.78 : 27,132.30 = 8,228.52 : x
  2. Step 2: Convert to fraction form
    18,102.78/27,132.30 = 8,228.52/x
  3. Step 3: Cross multiply
    18,102.78x = 27,132.30 × 8,228.52
  4. Step 4: Simplify right side
    18,102.78x = 223,258,673.20
  5. Step 5: Solve for x
    x = 223,258,673.20/18,102.78
  6. Step 6: Final answer
    x = 12,332.84

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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.