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Finding the Fourth Proportional to 27,425.80, 41,138.70 and 7,707.70

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Solution

The fourth proportional to 27,425.80, 41,138.70 and 7,707.70 is: 11,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.80 : 41,138.70 = 7,707.70 : x
  2. Step 2: Convert to fraction form
    27,425.80/41,138.70 = 7,707.70/x
  3. Step 3: Cross multiply
    27,425.80x = 41,138.70 × 7,707.70
  4. Step 4: Simplify right side
    27,425.80x = 317,084,757.99
  5. Step 5: Solve for x
    x = 317,084,757.99/27,425.80
  6. Step 6: Final answer
    x = 11,561.55

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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.