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Finding the Fourth Proportional to 20,409.24, 30,610.98 and 6,366

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Solution

The fourth proportional to 20,409.24, 30,610.98 and 6,366 is: 9,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.24 : 30,610.98 = 6,366 : x
  2. Step 2: Convert to fraction form
    20,409.24/30,610.98 = 6,366/x
  3. Step 3: Cross multiply
    20,409.24x = 30,610.98 × 6,366
  4. Step 4: Simplify right side
    20,409.24x = 194,869,498.68
  5. Step 5: Solve for x
    x = 194,869,498.68/20,409.24
  6. Step 6: Final answer
    x = 9,548.10

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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.