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Finding the Fourth Proportional to 20,300.49, 30,439.80 and 7,823.66

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Solution

The fourth proportional to 20,300.49, 30,439.80 and 7,823.66 is: 11,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.49 : 30,439.80 = 7,823.66 : x
  2. Step 2: Convert to fraction form
    20,300.49/30,439.80 = 7,823.66/x
  3. Step 3: Cross multiply
    20,300.49x = 30,439.80 × 7,823.66
  4. Step 4: Simplify right side
    20,300.49x = 238,150,493.47
  5. Step 5: Solve for x
    x = 238,150,493.47/20,300.49
  6. Step 6: Final answer
    x = 11,731.27

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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.