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Finding the Fourth Proportional to 20,578.53, 30,843.02 and 9,470.01

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Solution

The fourth proportional to 20,578.53, 30,843.02 and 9,470.01 is: 14,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.53 : 30,843.02 = 9,470.01 : x
  2. Step 2: Convert to fraction form
    20,578.53/30,843.02 = 9,470.01/x
  3. Step 3: Cross multiply
    20,578.53x = 30,843.02 × 9,470.01
  4. Step 4: Simplify right side
    20,578.53x = 292,083,660.48
  5. Step 5: Solve for x
    x = 292,083,660.48/20,578.53
  6. Step 6: Final answer
    x = 14,193.61

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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.