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Finding the Fourth Proportional to 16,229.84, 22,397.46 and 9,520.30

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Solution

The fourth proportional to 16,229.84, 22,397.46 and 9,520.30 is: 13,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.84 : 22,397.46 = 9,520.30 : x
  2. Step 2: Convert to fraction form
    16,229.84/22,397.46 = 9,520.30/x
  3. Step 3: Cross multiply
    16,229.84x = 22,397.46 × 9,520.30
  4. Step 4: Simplify right side
    16,229.84x = 213,230,482.44
  5. Step 5: Solve for x
    x = 213,230,482.44/16,229.84
  6. Step 6: Final answer
    x = 13,138.18

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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.