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Finding the Fourth Proportional to 12,049.32, 18,077.25 and 5,027.01

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Solution

The fourth proportional to 12,049.32, 18,077.25 and 5,027.01 is: 7,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.32 : 18,077.25 = 5,027.01 : x
  2. Step 2: Convert to fraction form
    12,049.32/18,077.25 = 5,027.01/x
  3. Step 3: Cross multiply
    12,049.32x = 18,077.25 × 5,027.01
  4. Step 4: Simplify right side
    12,049.32x = 90,874,516.52
  5. Step 5: Solve for x
    x = 90,874,516.52/12,049.32
  6. Step 6: Final answer
    x = 7,541.88

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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.