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Finding the Fourth Proportional to 17,565.39, 24,230.34 and 11,180.16

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Solution

The fourth proportional to 17,565.39, 24,230.34 and 11,180.16 is: 15,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.39 : 24,230.34 = 11,180.16 : x
  2. Step 2: Convert to fraction form
    17,565.39/24,230.34 = 11,180.16/x
  3. Step 3: Cross multiply
    17,565.39x = 24,230.34 × 11,180.16
  4. Step 4: Simplify right side
    17,565.39x = 270,899,078.05
  5. Step 5: Solve for x
    x = 270,899,078.05/17,565.39
  6. Step 6: Final answer
    x = 15,422.32

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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.