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Finding the Fourth Proportional to 18,538.38, 25,582.81 and 10,040.30

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Solution

The fourth proportional to 18,538.38, 25,582.81 and 10,040.30 is: 13,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.38 : 25,582.81 = 10,040.30 : x
  2. Step 2: Convert to fraction form
    18,538.38/25,582.81 = 10,040.30/x
  3. Step 3: Cross multiply
    18,538.38x = 25,582.81 × 10,040.30
  4. Step 4: Simplify right side
    18,538.38x = 256,859,221.13
  5. Step 5: Solve for x
    x = 256,859,221.13/18,538.38
  6. Step 6: Final answer
    x = 13,855.54

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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.