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Finding the Fourth Proportional to 22,453.66, 30,984.39 and 12,382.30

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Solution

The fourth proportional to 22,453.66, 30,984.39 and 12,382.30 is: 17,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.66 : 30,984.39 = 12,382.30 : x
  2. Step 2: Convert to fraction form
    22,453.66/30,984.39 = 12,382.30/x
  3. Step 3: Cross multiply
    22,453.66x = 30,984.39 × 12,382.30
  4. Step 4: Simplify right side
    22,453.66x = 383,658,012.30
  5. Step 5: Solve for x
    x = 383,658,012.30/22,453.66
  6. Step 6: Final answer
    x = 17,086.66

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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.