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Finding the Fourth Proportional to 22,808.66, 34,180.40 and 10,297.62

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Solution

The fourth proportional to 22,808.66, 34,180.40 and 10,297.62 is: 15,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.66 : 34,180.40 = 10,297.62 : x
  2. Step 2: Convert to fraction form
    22,808.66/34,180.40 = 10,297.62/x
  3. Step 3: Cross multiply
    22,808.66x = 34,180.40 × 10,297.62
  4. Step 4: Simplify right side
    22,808.66x = 351,976,770.65
  5. Step 5: Solve for x
    x = 351,976,770.65/22,808.66
  6. Step 6: Final answer
    x = 15,431.72

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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.