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Finding the Fourth Proportional to 20,502.93, 30,754.70 and 6,462.69

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Solution

The fourth proportional to 20,502.93, 30,754.70 and 6,462.69 is: 9,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.93 : 30,754.70 = 6,462.69 : x
  2. Step 2: Convert to fraction form
    20,502.93/30,754.70 = 6,462.69/x
  3. Step 3: Cross multiply
    20,502.93x = 30,754.70 × 6,462.69
  4. Step 4: Simplify right side
    20,502.93x = 198,758,059.83
  5. Step 5: Solve for x
    x = 198,758,059.83/20,502.93
  6. Step 6: Final answer
    x = 9,694.13

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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.