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Finding the Fourth Proportional to 22,354.20, 30,846.96 and 12,282.12

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Solution

The fourth proportional to 22,354.20, 30,846.96 and 12,282.12 is: 16,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.20 : 30,846.96 = 12,282.12 : x
  2. Step 2: Convert to fraction form
    22,354.20/30,846.96 = 12,282.12/x
  3. Step 3: Cross multiply
    22,354.20x = 30,846.96 × 12,282.12
  4. Step 4: Simplify right side
    22,354.20x = 378,866,064.36
  5. Step 5: Solve for x
    x = 378,866,064.36/22,354.20
  6. Step 6: Final answer
    x = 16,948.32

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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.