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Finding the Fourth Proportional to 27,810.57, 41,686.84 and 13,761.83

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Solution

The fourth proportional to 27,810.57, 41,686.84 and 13,761.83 is: 20,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.57 : 41,686.84 = 13,761.83 : x
  2. Step 2: Convert to fraction form
    27,810.57/41,686.84 = 13,761.83/x
  3. Step 3: Cross multiply
    27,810.57x = 41,686.84 × 13,761.83
  4. Step 4: Simplify right side
    27,810.57x = 573,687,205.32
  5. Step 5: Solve for x
    x = 573,687,205.32/27,810.57
  6. Step 6: Final answer
    x = 20,628.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.