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Finding the Fourth Proportional to 19,714.87, 29,568.31 and 7,230.65

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Solution

The fourth proportional to 19,714.87, 29,568.31 and 7,230.65 is: 10,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.87 : 29,568.31 = 7,230.65 : x
  2. Step 2: Convert to fraction form
    19,714.87/29,568.31 = 7,230.65/x
  3. Step 3: Cross multiply
    19,714.87x = 29,568.31 × 7,230.65
  4. Step 4: Simplify right side
    19,714.87x = 213,797,934.78
  5. Step 5: Solve for x
    x = 213,797,934.78/19,714.87
  6. Step 6: Final answer
    x = 10,844.50

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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.