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Finding the Fourth Proportional to 10,520.20, 15,694.08 and 10,234.18

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Solution

The fourth proportional to 10,520.20, 15,694.08 and 10,234.18 is: 15,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.20 : 15,694.08 = 10,234.18 : x
  2. Step 2: Convert to fraction form
    10,520.20/15,694.08 = 10,234.18/x
  3. Step 3: Cross multiply
    10,520.20x = 15,694.08 × 10,234.18
  4. Step 4: Simplify right side
    10,520.20x = 160,616,039.65
  5. Step 5: Solve for x
    x = 160,616,039.65/10,520.20
  6. Step 6: Final answer
    x = 15,267.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.