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Finding the Fourth Proportional to 11,841.30, 17,781.15 and 8,577.30

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Solution

The fourth proportional to 11,841.30, 17,781.15 and 8,577.30 is: 12,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.30 : 17,781.15 = 8,577.30 : x
  2. Step 2: Convert to fraction form
    11,841.30/17,781.15 = 8,577.30/x
  3. Step 3: Cross multiply
    11,841.30x = 17,781.15 × 8,577.30
  4. Step 4: Simplify right side
    11,841.30x = 152,514,257.90
  5. Step 5: Solve for x
    x = 152,514,257.90/11,841.30
  6. Step 6: Final answer
    x = 12,879.86

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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.