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Finding the Fourth Proportional to 20,152.90, 30,205.05 and 10,287.10

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Solution

The fourth proportional to 20,152.90, 30,205.05 and 10,287.10 is: 15,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.90 : 30,205.05 = 10,287.10 : x
  2. Step 2: Convert to fraction form
    20,152.90/30,205.05 = 10,287.10/x
  3. Step 3: Cross multiply
    20,152.90x = 30,205.05 × 10,287.10
  4. Step 4: Simplify right side
    20,152.90x = 310,722,369.86
  5. Step 5: Solve for x
    x = 310,722,369.86/20,152.90
  6. Step 6: Final answer
    x = 15,418.25

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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.