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Finding the Fourth Proportional to 27,147.94, 40,719.98 and 8,427.53

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Solution

The fourth proportional to 27,147.94, 40,719.98 and 8,427.53 is: 12,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.94 : 40,719.98 = 8,427.53 : x
  2. Step 2: Convert to fraction form
    27,147.94/40,719.98 = 8,427.53/x
  3. Step 3: Cross multiply
    27,147.94x = 40,719.98 × 8,427.53
  4. Step 4: Simplify right side
    27,147.94x = 343,168,853.05
  5. Step 5: Solve for x
    x = 343,168,853.05/27,147.94
  6. Step 6: Final answer
    x = 12,640.70

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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.