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Finding the Fourth Proportional to 27,781.98, 41,686.23 and 12,988.74

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Solution

The fourth proportional to 27,781.98, 41,686.23 and 12,988.74 is: 19,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.98 : 41,686.23 = 12,988.74 : x
  2. Step 2: Convert to fraction form
    27,781.98/41,686.23 = 12,988.74/x
  3. Step 3: Cross multiply
    27,781.98x = 41,686.23 × 12,988.74
  4. Step 4: Simplify right side
    27,781.98x = 541,451,603.05
  5. Step 5: Solve for x
    x = 541,451,603.05/27,781.98
  6. Step 6: Final answer
    x = 19,489.31

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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.