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Finding the Fourth Proportional to 22,847.80, 34,271.70 and 20,342.20

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Solution

The fourth proportional to 22,847.80, 34,271.70 and 20,342.20 is: 30,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.80 : 34,271.70 = 20,342.20 : x
  2. Step 2: Convert to fraction form
    22,847.80/34,271.70 = 20,342.20/x
  3. Step 3: Cross multiply
    22,847.80x = 34,271.70 × 20,342.20
  4. Step 4: Simplify right side
    22,847.80x = 697,161,775.74
  5. Step 5: Solve for x
    x = 697,161,775.74/22,847.80
  6. Step 6: Final answer
    x = 30,513.30

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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.