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Finding the Fourth Proportional to 22,406, 30,920.82 and 13,453.88

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Solution

The fourth proportional to 22,406, 30,920.82 and 13,453.88 is: 18,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406 : 30,920.82 = 13,453.88 : x
  2. Step 2: Convert to fraction form
    22,406/30,920.82 = 13,453.88/x
  3. Step 3: Cross multiply
    22,406x = 30,920.82 × 13,453.88
  4. Step 4: Simplify right side
    22,406x = 416,005,001.78
  5. Step 5: Solve for x
    x = 416,005,001.78/22,406
  6. Step 6: Final answer
    x = 18,566.68

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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.