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Finding the Fourth Proportional to 22,382.46, 30,874.91 and 13,424.76

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Solution

The fourth proportional to 22,382.46, 30,874.91 and 13,424.76 is: 18,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.46 : 30,874.91 = 13,424.76 : x
  2. Step 2: Convert to fraction form
    22,382.46/30,874.91 = 13,424.76/x
  3. Step 3: Cross multiply
    22,382.46x = 30,874.91 × 13,424.76
  4. Step 4: Simplify right side
    22,382.46x = 414,488,189.65
  5. Step 5: Solve for x
    x = 414,488,189.65/22,382.46
  6. Step 6: Final answer
    x = 18,518.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.