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Finding the Fourth Proportional to 20,321.10, 30,475.46 and 7,840.14

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Solution

The fourth proportional to 20,321.10, 30,475.46 and 7,840.14 is: 11,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.10 : 30,475.46 = 7,840.14 : x
  2. Step 2: Convert to fraction form
    20,321.10/30,475.46 = 7,840.14/x
  3. Step 3: Cross multiply
    20,321.10x = 30,475.46 × 7,840.14
  4. Step 4: Simplify right side
    20,321.10x = 238,931,833.76
  5. Step 5: Solve for x
    x = 238,931,833.76/20,321.10
  6. Step 6: Final answer
    x = 11,757.82

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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.