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Finding the Fourth Proportional to 21,141.15, 31,711.70 and 8,661.20

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Solution

The fourth proportional to 21,141.15, 31,711.70 and 8,661.20 is: 12,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.15 : 31,711.70 = 8,661.20 : x
  2. Step 2: Convert to fraction form
    21,141.15/31,711.70 = 8,661.20/x
  3. Step 3: Cross multiply
    21,141.15x = 31,711.70 × 8,661.20
  4. Step 4: Simplify right side
    21,141.15x = 274,661,174.18
  5. Step 5: Solve for x
    x = 274,661,174.18/21,141.15
  6. Step 6: Final answer
    x = 12,991.78

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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.