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Finding the Fourth Proportional to 22,874.43, 34,315.38 and 7,075.80

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Solution

The fourth proportional to 22,874.43, 34,315.38 and 7,075.80 is: 10,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.43 : 34,315.38 = 7,075.80 : x
  2. Step 2: Convert to fraction form
    22,874.43/34,315.38 = 7,075.80/x
  3. Step 3: Cross multiply
    22,874.43x = 34,315.38 × 7,075.80
  4. Step 4: Simplify right side
    22,874.43x = 242,808,765.80
  5. Step 5: Solve for x
    x = 242,808,765.80/22,874.43
  6. Step 6: Final answer
    x = 10,614.86

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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.