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Finding the Fourth Proportional to 20,891.76, 31,339.47 and 8,411.28

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Solution

The fourth proportional to 20,891.76, 31,339.47 and 8,411.28 is: 12,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.76 : 31,339.47 = 8,411.28 : x
  2. Step 2: Convert to fraction form
    20,891.76/31,339.47 = 8,411.28/x
  3. Step 3: Cross multiply
    20,891.76x = 31,339.47 × 8,411.28
  4. Step 4: Simplify right side
    20,891.76x = 263,605,057.22
  5. Step 5: Solve for x
    x = 263,605,057.22/20,891.76
  6. Step 6: Final answer
    x = 12,617.66

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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.