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Finding the Fourth Proportional to 17,920.32, 24,742.35 and 11,209.20

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Solution

The fourth proportional to 17,920.32, 24,742.35 and 11,209.20 is: 15,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.32 : 24,742.35 = 11,209.20 : x
  2. Step 2: Convert to fraction form
    17,920.32/24,742.35 = 11,209.20/x
  3. Step 3: Cross multiply
    17,920.32x = 24,742.35 × 11,209.20
  4. Step 4: Simplify right side
    17,920.32x = 277,341,949.62
  5. Step 5: Solve for x
    x = 277,341,949.62/17,920.32
  6. Step 6: Final answer
    x = 15,476.39

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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.