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Finding the Fourth Proportional to 27,107.24, 40,660.38 and 10,691.24

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Solution

The fourth proportional to 27,107.24, 40,660.38 and 10,691.24 is: 16,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.24 : 40,660.38 = 10,691.24 : x
  2. Step 2: Convert to fraction form
    27,107.24/40,660.38 = 10,691.24/x
  3. Step 3: Cross multiply
    27,107.24x = 40,660.38 × 10,691.24
  4. Step 4: Simplify right side
    27,107.24x = 434,709,881.07
  5. Step 5: Solve for x
    x = 434,709,881.07/27,107.24
  6. Step 6: Final answer
    x = 16,036.67

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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.