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Finding the Fourth Proportional to 20,422.84, 30,634.22 and 6,384.06

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Solution

The fourth proportional to 20,422.84, 30,634.22 and 6,384.06 is: 9,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.84 : 30,634.22 = 6,384.06 : x
  2. Step 2: Convert to fraction form
    20,422.84/30,634.22 = 6,384.06/x
  3. Step 3: Cross multiply
    20,422.84x = 30,634.22 × 6,384.06
  4. Step 4: Simplify right side
    20,422.84x = 195,570,698.53
  5. Step 5: Solve for x
    x = 195,570,698.53/20,422.84
  6. Step 6: Final answer
    x = 9,576.08

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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.