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Finding the Fourth Proportional to 18,338.30, 25,306.93 and 10,382.06

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Solution

The fourth proportional to 18,338.30, 25,306.93 and 10,382.06 is: 14,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338.30 : 25,306.93 = 10,382.06 : x
  2. Step 2: Convert to fraction form
    18,338.30/25,306.93 = 10,382.06/x
  3. Step 3: Cross multiply
    18,338.30x = 25,306.93 × 10,382.06
  4. Step 4: Simplify right side
    18,338.30x = 262,738,065.68
  5. Step 5: Solve for x
    x = 262,738,065.68/18,338.30
  6. Step 6: Final answer
    x = 14,327.29

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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.