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Finding the Fourth Proportional to 13,473.30, 20,203.68 and 7,231.65

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Solution

The fourth proportional to 13,473.30, 20,203.68 and 7,231.65 is: 10,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.30 : 20,203.68 = 7,231.65 : x
  2. Step 2: Convert to fraction form
    13,473.30/20,203.68 = 7,231.65/x
  3. Step 3: Cross multiply
    13,473.30x = 20,203.68 × 7,231.65
  4. Step 4: Simplify right side
    13,473.30x = 146,105,942.47
  5. Step 5: Solve for x
    x = 146,105,942.47/13,473.30
  6. Step 6: Final answer
    x = 10,844.11

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Why These Related Problems?

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