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Finding the Fourth Proportional to 27,689.31, 38,211.23 and 15,114.06

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Solution

The fourth proportional to 27,689.31, 38,211.23 and 15,114.06 is: 20,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.31 : 38,211.23 = 15,114.06 : x
  2. Step 2: Convert to fraction form
    27,689.31/38,211.23 = 15,114.06/x
  3. Step 3: Cross multiply
    27,689.31x = 38,211.23 × 15,114.06
  4. Step 4: Simplify right side
    27,689.31x = 577,526,822.89
  5. Step 5: Solve for x
    x = 577,526,822.89/27,689.31
  6. Step 6: Final answer
    x = 20,857.39

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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.