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Finding the Fourth Proportional to 20,456.42, 30,659.52 and 10,590.08

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Solution

The fourth proportional to 20,456.42, 30,659.52 and 10,590.08 is: 15,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.42 : 30,659.52 = 10,590.08 : x
  2. Step 2: Convert to fraction form
    20,456.42/30,659.52 = 10,590.08/x
  3. Step 3: Cross multiply
    20,456.42x = 30,659.52 × 10,590.08
  4. Step 4: Simplify right side
    20,456.42x = 324,686,769.56
  5. Step 5: Solve for x
    x = 324,686,769.56/20,456.42
  6. Step 6: Final answer
    x = 15,872.12

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