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Finding the Fourth Proportional to 27,689.42, 38,204.04 and 15,750.83

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Solution

The fourth proportional to 27,689.42, 38,204.04 and 15,750.83 is: 21,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.42 : 38,204.04 = 15,750.83 : x
  2. Step 2: Convert to fraction form
    27,689.42/38,204.04 = 15,750.83/x
  3. Step 3: Cross multiply
    27,689.42x = 38,204.04 × 15,750.83
  4. Step 4: Simplify right side
    27,689.42x = 601,745,148.33
  5. Step 5: Solve for x
    x = 601,745,148.33/27,689.42
  6. Step 6: Final answer
    x = 21,731.96

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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.