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Finding the Fourth Proportional to 27,667.71, 38,136.69 and 19,182.15

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Solution

The fourth proportional to 27,667.71, 38,136.69 and 19,182.15 is: 26,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667.71 : 38,136.69 = 19,182.15 : x
  2. Step 2: Convert to fraction form
    27,667.71/38,136.69 = 19,182.15/x
  3. Step 3: Cross multiply
    27,667.71x = 38,136.69 × 19,182.15
  4. Step 4: Simplify right side
    27,667.71x = 731,543,708.08
  5. Step 5: Solve for x
    x = 731,543,708.08/27,667.71
  6. Step 6: Final answer
    x = 26,440.34

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Why These Related Problems?

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