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Finding the Fourth Proportional to 27,986.38, 38,591.61 and 21,614.01

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Solution

The fourth proportional to 27,986.38, 38,591.61 and 21,614.01 is: 29,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.38 : 38,591.61 = 21,614.01 : x
  2. Step 2: Convert to fraction form
    27,986.38/38,591.61 = 21,614.01/x
  3. Step 3: Cross multiply
    27,986.38x = 38,591.61 × 21,614.01
  4. Step 4: Simplify right side
    27,986.38x = 834,119,444.46
  5. Step 5: Solve for x
    x = 834,119,444.46/27,986.38
  6. Step 6: Final answer
    x = 29,804.48

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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.