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Finding the Fourth Proportional to 22,590.28, 31,183.14 and 13,161.88

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Solution

The fourth proportional to 22,590.28, 31,183.14 and 13,161.88 is: 18,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.28 : 31,183.14 = 13,161.88 : x
  2. Step 2: Convert to fraction form
    22,590.28/31,183.14 = 13,161.88/x
  3. Step 3: Cross multiply
    22,590.28x = 31,183.14 × 13,161.88
  4. Step 4: Simplify right side
    22,590.28x = 410,428,746.70
  5. Step 5: Solve for x
    x = 410,428,746.70/22,590.28
  6. Step 6: Final answer
    x = 18,168.38

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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.