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Finding the Fourth Proportional to 27,245.20, 40,867.80 and 9,708.70

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Solution

The fourth proportional to 27,245.20, 40,867.80 and 9,708.70 is: 14,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,245.20 : 40,867.80 = 9,708.70 : x
  2. Step 2: Convert to fraction form
    27,245.20/40,867.80 = 9,708.70/x
  3. Step 3: Cross multiply
    27,245.20x = 40,867.80 × 9,708.70
  4. Step 4: Simplify right side
    27,245.20x = 396,773,209.86
  5. Step 5: Solve for x
    x = 396,773,209.86/27,245.20
  6. Step 6: Final answer
    x = 14,563.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.