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Finding the Fourth Proportional to 18,078, 24,947.38 and 10,120.23

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Solution

The fourth proportional to 18,078, 24,947.38 and 10,120.23 is: 13,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078 : 24,947.38 = 10,120.23 : x
  2. Step 2: Convert to fraction form
    18,078/24,947.38 = 10,120.23/x
  3. Step 3: Cross multiply
    18,078x = 24,947.38 × 10,120.23
  4. Step 4: Simplify right side
    18,078x = 252,473,223.50
  5. Step 5: Solve for x
    x = 252,473,223.50/18,078
  6. Step 6: Final answer
    x = 13,965.77

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Why These Related Problems?

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