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Finding the Fourth Proportional to 22,205.46, 30,638.52 and 13,251.24

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Solution

The fourth proportional to 22,205.46, 30,638.52 and 13,251.24 is: 18,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.46 : 30,638.52 = 13,251.24 : x
  2. Step 2: Convert to fraction form
    22,205.46/30,638.52 = 13,251.24/x
  3. Step 3: Cross multiply
    22,205.46x = 30,638.52 × 13,251.24
  4. Step 4: Simplify right side
    22,205.46x = 405,998,381.76
  5. Step 5: Solve for x
    x = 405,998,381.76/22,205.46
  6. Step 6: Final answer
    x = 18,283.72

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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.