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Finding the Fourth Proportional to 22,433.60, 30,957.09 and 12,871.46

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Solution

The fourth proportional to 22,433.60, 30,957.09 and 12,871.46 is: 17,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.60 : 30,957.09 = 12,871.46 : x
  2. Step 2: Convert to fraction form
    22,433.60/30,957.09 = 12,871.46/x
  3. Step 3: Cross multiply
    22,433.60x = 30,957.09 × 12,871.46
  4. Step 4: Simplify right side
    22,433.60x = 398,462,945.65
  5. Step 5: Solve for x
    x = 398,462,945.65/22,433.60
  6. Step 6: Final answer
    x = 17,761.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.