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Finding the Fourth Proportional to 12,427.32, 18,610.56 and 8,031.54

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Solution

The fourth proportional to 12,427.32, 18,610.56 and 8,031.54 is: 12,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.32 : 18,610.56 = 8,031.54 : x
  2. Step 2: Convert to fraction form
    12,427.32/18,610.56 = 8,031.54/x
  3. Step 3: Cross multiply
    12,427.32x = 18,610.56 × 8,031.54
  4. Step 4: Simplify right side
    12,427.32x = 149,471,457.06
  5. Step 5: Solve for x
    x = 149,471,457.06/12,427.32
  6. Step 6: Final answer
    x = 12,027.65

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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.