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Finding the Fourth Proportional to 27,689.64, 38,211.70 and 15,114.39

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Solution

The fourth proportional to 27,689.64, 38,211.70 and 15,114.39 is: 20,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.64 : 38,211.70 = 15,114.39 : x
  2. Step 2: Convert to fraction form
    27,689.64/38,211.70 = 15,114.39/x
  3. Step 3: Cross multiply
    27,689.64x = 38,211.70 × 15,114.39
  4. Step 4: Simplify right side
    27,689.64x = 577,546,498.58
  5. Step 5: Solve for x
    x = 577,546,498.58/27,689.64
  6. Step 6: Final answer
    x = 20,857.86

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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.