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Finding the Fourth Proportional to 24,116.47, 36,179.99 and 8,105.44

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Solution

The fourth proportional to 24,116.47, 36,179.99 and 8,105.44 is: 12,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.47 : 36,179.99 = 8,105.44 : x
  2. Step 2: Convert to fraction form
    24,116.47/36,179.99 = 8,105.44/x
  3. Step 3: Cross multiply
    24,116.47x = 36,179.99 × 8,105.44
  4. Step 4: Simplify right side
    24,116.47x = 293,254,557.25
  5. Step 5: Solve for x
    x = 293,254,557.25/24,116.47
  6. Step 6: Final answer
    x = 12,159.93

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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.