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Finding the Fourth Proportional to 20,338.24, 30,500.88 and 6,484

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Solution

The fourth proportional to 20,338.24, 30,500.88 and 6,484 is: 9,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.24 : 30,500.88 = 6,484 : x
  2. Step 2: Convert to fraction form
    20,338.24/30,500.88 = 6,484/x
  3. Step 3: Cross multiply
    20,338.24x = 30,500.88 × 6,484
  4. Step 4: Simplify right side
    20,338.24x = 197,767,705.92
  5. Step 5: Solve for x
    x = 197,767,705.92/20,338.24
  6. Step 6: Final answer
    x = 9,723.93

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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.