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Finding the Fourth Proportional to 22,763.40, 34,145.10 and 20,171.40

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Solution

The fourth proportional to 22,763.40, 34,145.10 and 20,171.40 is: 30,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.40 : 34,145.10 = 20,171.40 : x
  2. Step 2: Convert to fraction form
    22,763.40/34,145.10 = 20,171.40/x
  3. Step 3: Cross multiply
    22,763.40x = 34,145.10 × 20,171.40
  4. Step 4: Simplify right side
    22,763.40x = 688,754,470.14
  5. Step 5: Solve for x
    x = 688,754,470.14/22,763.40
  6. Step 6: Final answer
    x = 30,257.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.