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Finding the Fourth Proportional to 14,761.02, 22,141.74 and 8,228.73

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Solution

The fourth proportional to 14,761.02, 22,141.74 and 8,228.73 is: 12,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.02 : 22,141.74 = 8,228.73 : x
  2. Step 2: Convert to fraction form
    14,761.02/22,141.74 = 8,228.73/x
  3. Step 3: Cross multiply
    14,761.02x = 22,141.74 × 8,228.73
  4. Step 4: Simplify right side
    14,761.02x = 182,198,400.19
  5. Step 5: Solve for x
    x = 182,198,400.19/14,761.02
  6. Step 6: Final answer
    x = 12,343.21

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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.