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Finding the Fourth Proportional to 27,140.16, 40,716.04 and 8,419.78

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Solution

The fourth proportional to 27,140.16, 40,716.04 and 8,419.78 is: 12,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.16 : 40,716.04 = 8,419.78 : x
  2. Step 2: Convert to fraction form
    27,140.16/40,716.04 = 8,419.78/x
  3. Step 3: Cross multiply
    27,140.16x = 40,716.04 × 8,419.78
  4. Step 4: Simplify right side
    27,140.16x = 342,820,099.27
  5. Step 5: Solve for x
    x = 342,820,099.27/27,140.16
  6. Step 6: Final answer
    x = 12,631.47

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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.