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Finding the Fourth Proportional to 12,141.65, 16,754.24 and 8,956.68

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Solution

The fourth proportional to 12,141.65, 16,754.24 and 8,956.68 is: 12,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.65 : 16,754.24 = 8,956.68 : x
  2. Step 2: Convert to fraction form
    12,141.65/16,754.24 = 8,956.68/x
  3. Step 3: Cross multiply
    12,141.65x = 16,754.24 × 8,956.68
  4. Step 4: Simplify right side
    12,141.65x = 150,062,325.89
  5. Step 5: Solve for x
    x = 150,062,325.89/12,141.65
  6. Step 6: Final answer
    x = 12,359.31

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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.