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Finding the Fourth Proportional to 27,719.70, 41,586.84 and 10,189.68

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Solution

The fourth proportional to 27,719.70, 41,586.84 and 10,189.68 is: 15,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.70 : 41,586.84 = 10,189.68 : x
  2. Step 2: Convert to fraction form
    27,719.70/41,586.84 = 10,189.68/x
  3. Step 3: Cross multiply
    27,719.70x = 41,586.84 × 10,189.68
  4. Step 4: Simplify right side
    27,719.70x = 423,756,591.81
  5. Step 5: Solve for x
    x = 423,756,591.81/27,719.70
  6. Step 6: Final answer
    x = 15,287.20

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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.