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Finding the Fourth Proportional to 27,668.30, 41,502.42 and 10,139.50

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Solution

The fourth proportional to 27,668.30, 41,502.42 and 10,139.50 is: 15,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.30 : 41,502.42 = 10,139.50 : x
  2. Step 2: Convert to fraction form
    27,668.30/41,502.42 = 10,139.50/x
  3. Step 3: Cross multiply
    27,668.30x = 41,502.42 × 10,139.50
  4. Step 4: Simplify right side
    27,668.30x = 420,813,787.59
  5. Step 5: Solve for x
    x = 420,813,787.59/27,668.30
  6. Step 6: Final answer
    x = 15,209.24

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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.