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Finding the Fourth Proportional to 14,821.12, 22,251.20 and 9,922.24

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Solution

The fourth proportional to 14,821.12, 22,251.20 and 9,922.24 is: 14,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.12 : 22,251.20 = 9,922.24 : x
  2. Step 2: Convert to fraction form
    14,821.12/22,251.20 = 9,922.24/x
  3. Step 3: Cross multiply
    14,821.12x = 22,251.20 × 9,922.24
  4. Step 4: Simplify right side
    14,821.12x = 220,781,746.69
  5. Step 5: Solve for x
    x = 220,781,746.69/14,821.12
  6. Step 6: Final answer
    x = 14,896.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.