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Finding the Fourth Proportional to 13,674.87, 18,871.65 and 8,013.24

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Solution

The fourth proportional to 13,674.87, 18,871.65 and 8,013.24 is: 11,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.87 : 18,871.65 = 8,013.24 : x
  2. Step 2: Convert to fraction form
    13,674.87/18,871.65 = 8,013.24/x
  3. Step 3: Cross multiply
    13,674.87x = 18,871.65 × 8,013.24
  4. Step 4: Simplify right side
    13,674.87x = 151,223,060.65
  5. Step 5: Solve for x
    x = 151,223,060.65/13,674.87
  6. Step 6: Final answer
    x = 11,058.46

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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.