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Finding the Fourth Proportional to 27,587.70, 41,381.55 and 9,119.70

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Solution

The fourth proportional to 27,587.70, 41,381.55 and 9,119.70 is: 13,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.70 : 41,381.55 = 9,119.70 : x
  2. Step 2: Convert to fraction form
    27,587.70/41,381.55 = 9,119.70/x
  3. Step 3: Cross multiply
    27,587.70x = 41,381.55 × 9,119.70
  4. Step 4: Simplify right side
    27,587.70x = 377,387,321.54
  5. Step 5: Solve for x
    x = 377,387,321.54/27,587.70
  6. Step 6: Final answer
    x = 13,679.55

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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.