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Finding the Fourth Proportional to 20,339.65, 30,506.57 and 7,865.54

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Solution

The fourth proportional to 20,339.65, 30,506.57 and 7,865.54 is: 11,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.65 : 30,506.57 = 7,865.54 : x
  2. Step 2: Convert to fraction form
    20,339.65/30,506.57 = 7,865.54/x
  3. Step 3: Cross multiply
    20,339.65x = 30,506.57 × 7,865.54
  4. Step 4: Simplify right side
    20,339.65x = 239,950,646.60
  5. Step 5: Solve for x
    x = 239,950,646.60/20,339.65
  6. Step 6: Final answer
    x = 11,797.19

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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.