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Finding the Fourth Proportional to 19,842.14, 27,382.13 and 10,889.67

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Solution

The fourth proportional to 19,842.14, 27,382.13 and 10,889.67 is: 15,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.14 : 27,382.13 = 10,889.67 : x
  2. Step 2: Convert to fraction form
    19,842.14/27,382.13 = 10,889.67/x
  3. Step 3: Cross multiply
    19,842.14x = 27,382.13 × 10,889.67
  4. Step 4: Simplify right side
    19,842.14x = 298,182,355.90
  5. Step 5: Solve for x
    x = 298,182,355.90/19,842.14
  6. Step 6: Final answer
    x = 15,027.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.