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Finding the Fourth Proportional to 27,148.32, 40,720.56 and 8,427.88

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Solution

The fourth proportional to 27,148.32, 40,720.56 and 8,427.88 is: 12,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,148.32 : 40,720.56 = 8,427.88 : x
  2. Step 2: Convert to fraction form
    27,148.32/40,720.56 = 8,427.88/x
  3. Step 3: Cross multiply
    27,148.32x = 40,720.56 × 8,427.88
  4. Step 4: Simplify right side
    27,148.32x = 343,187,993.21
  5. Step 5: Solve for x
    x = 343,187,993.21/27,148.32
  6. Step 6: Final answer
    x = 12,641.22

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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.