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Finding the Fourth Proportional to 22,120.76, 30,568.38 and 17,442.20

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Solution

The fourth proportional to 22,120.76, 30,568.38 and 17,442.20 is: 24,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.76 : 30,568.38 = 17,442.20 : x
  2. Step 2: Convert to fraction form
    22,120.76/30,568.38 = 17,442.20/x
  3. Step 3: Cross multiply
    22,120.76x = 30,568.38 × 17,442.20
  4. Step 4: Simplify right side
    22,120.76x = 533,179,797.64
  5. Step 5: Solve for x
    x = 533,179,797.64/22,120.76
  6. Step 6: Final answer
    x = 24,103.14

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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.