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Finding the Fourth Proportional to 27,877.26, 38,470.50 and 15,301.74

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Solution

The fourth proportional to 27,877.26, 38,470.50 and 15,301.74 is: 21,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.26 : 38,470.50 = 15,301.74 : x
  2. Step 2: Convert to fraction form
    27,877.26/38,470.50 = 15,301.74/x
  3. Step 3: Cross multiply
    27,877.26x = 38,470.50 × 15,301.74
  4. Step 4: Simplify right side
    27,877.26x = 588,665,588.67
  5. Step 5: Solve for x
    x = 588,665,588.67/27,877.26
  6. Step 6: Final answer
    x = 21,116.34

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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.