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Finding the Fourth Proportional to 21,149.59, 31,724.75 and 8,008.15

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Solution

The fourth proportional to 21,149.59, 31,724.75 and 8,008.15 is: 12,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.59 : 31,724.75 = 8,008.15 : x
  2. Step 2: Convert to fraction form
    21,149.59/31,724.75 = 8,008.15/x
  3. Step 3: Cross multiply
    21,149.59x = 31,724.75 × 8,008.15
  4. Step 4: Simplify right side
    21,149.59x = 254,056,556.71
  5. Step 5: Solve for x
    x = 254,056,556.71/21,149.59
  6. Step 6: Final answer
    x = 12,012.36

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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.