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Finding the Fourth Proportional to 27,140.39, 40,716.41 and 8,420.03

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Solution

The fourth proportional to 27,140.39, 40,716.41 and 8,420.03 is: 12,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.39 : 40,716.41 = 8,420.03 : x
  2. Step 2: Convert to fraction form
    27,140.39/40,716.41 = 8,420.03/x
  3. Step 3: Cross multiply
    27,140.39x = 40,716.41 × 8,420.03
  4. Step 4: Simplify right side
    27,140.39x = 342,833,393.69
  5. Step 5: Solve for x
    x = 342,833,393.69/27,140.39
  6. Step 6: Final answer
    x = 12,631.85

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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.