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Finding the Fourth Proportional to 27,505.62, 41,242.86 and 8,781.24

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Solution

The fourth proportional to 27,505.62, 41,242.86 and 8,781.24 is: 13,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505.62 : 41,242.86 = 8,781.24 : x
  2. Step 2: Convert to fraction form
    27,505.62/41,242.86 = 8,781.24/x
  3. Step 3: Cross multiply
    27,505.62x = 41,242.86 × 8,781.24
  4. Step 4: Simplify right side
    27,505.62x = 362,163,451.95
  5. Step 5: Solve for x
    x = 362,163,451.95/27,505.62
  6. Step 6: Final answer
    x = 13,166.89

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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.