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Finding the Fourth Proportional to 27,685.75, 38,207.16 and 15,111.31

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Solution

The fourth proportional to 27,685.75, 38,207.16 and 15,111.31 is: 20,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.75 : 38,207.16 = 15,111.31 : x
  2. Step 2: Convert to fraction form
    27,685.75/38,207.16 = 15,111.31/x
  3. Step 3: Cross multiply
    27,685.75x = 38,207.16 × 15,111.31
  4. Step 4: Simplify right side
    27,685.75x = 577,360,238.98
  5. Step 5: Solve for x
    x = 577,360,238.98/27,685.75
  6. Step 6: Final answer
    x = 20,854.06

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