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Finding the Fourth Proportional to 13,230.38, 18,257.71 and 7,565.65

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Solution

The fourth proportional to 13,230.38, 18,257.71 and 7,565.65 is: 10,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.38 : 18,257.71 = 7,565.65 : x
  2. Step 2: Convert to fraction form
    13,230.38/18,257.71 = 7,565.65/x
  3. Step 3: Cross multiply
    13,230.38x = 18,257.71 × 7,565.65
  4. Step 4: Simplify right side
    13,230.38x = 138,131,519.26
  5. Step 5: Solve for x
    x = 138,131,519.26/13,230.38
  6. Step 6: Final answer
    x = 10,440.48

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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.