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Finding the Fourth Proportional to 22,817.80, 34,226.22 and 10,505.80

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Solution

The fourth proportional to 22,817.80, 34,226.22 and 10,505.80 is: 15,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.80 : 34,226.22 = 10,505.80 : x
  2. Step 2: Convert to fraction form
    22,817.80/34,226.22 = 10,505.80/x
  3. Step 3: Cross multiply
    22,817.80x = 34,226.22 × 10,505.80
  4. Step 4: Simplify right side
    22,817.80x = 359,573,822.08
  5. Step 5: Solve for x
    x = 359,573,822.08/22,817.80
  6. Step 6: Final answer
    x = 15,758.48

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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.