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Finding the Fourth Proportional to 27,140.41, 40,716.48 and 8,420.08

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Solution

The fourth proportional to 27,140.41, 40,716.48 and 8,420.08 is: 12,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.41 : 40,716.48 = 8,420.08 : x
  2. Step 2: Convert to fraction form
    27,140.41/40,716.48 = 8,420.08/x
  3. Step 3: Cross multiply
    27,140.41x = 40,716.48 × 8,420.08
  4. Step 4: Simplify right side
    27,140.41x = 342,836,018.92
  5. Step 5: Solve for x
    x = 342,836,018.92/27,140.41
  6. Step 6: Final answer
    x = 12,631.94

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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.