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Finding the Fourth Proportional to 20,589.06, 30,859.73 and 9,472.42

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Solution

The fourth proportional to 20,589.06, 30,859.73 and 9,472.42 is: 14,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.06 : 30,859.73 = 9,472.42 : x
  2. Step 2: Convert to fraction form
    20,589.06/30,859.73 = 9,472.42/x
  3. Step 3: Cross multiply
    20,589.06x = 30,859.73 × 9,472.42
  4. Step 4: Simplify right side
    20,589.06x = 292,316,323.65
  5. Step 5: Solve for x
    x = 292,316,323.65/20,589.06
  6. Step 6: Final answer
    x = 14,197.65

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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.