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Finding the Fourth Proportional to 27,761.40, 38,310.42 and 15,186

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Solution

The fourth proportional to 27,761.40, 38,310.42 and 15,186 is: 20,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.40 : 38,310.42 = 15,186 : x
  2. Step 2: Convert to fraction form
    27,761.40/38,310.42 = 15,186/x
  3. Step 3: Cross multiply
    27,761.40x = 38,310.42 × 15,186
  4. Step 4: Simplify right side
    27,761.40x = 581,782,038.12
  5. Step 5: Solve for x
    x = 581,782,038.12/27,761.40
  6. Step 6: Final answer
    x = 20,956.51

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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.