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Finding the Fourth Proportional to 20,235.75, 30,357.02 and 9,142.20

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Solution

The fourth proportional to 20,235.75, 30,357.02 and 9,142.20 is: 13,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.75 : 30,357.02 = 9,142.20 : x
  2. Step 2: Convert to fraction form
    20,235.75/30,357.02 = 9,142.20/x
  3. Step 3: Cross multiply
    20,235.75x = 30,357.02 × 9,142.20
  4. Step 4: Simplify right side
    20,235.75x = 277,529,948.24
  5. Step 5: Solve for x
    x = 277,529,948.24/20,235.75
  6. Step 6: Final answer
    x = 13,714.83

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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.