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Finding the Fourth Proportional to 22,116, 33,163.12 and 6,532

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Solution

The fourth proportional to 22,116, 33,163.12 and 6,532 is: 9,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116 : 33,163.12 = 6,532 : x
  2. Step 2: Convert to fraction form
    22,116/33,163.12 = 6,532/x
  3. Step 3: Cross multiply
    22,116x = 33,163.12 × 6,532
  4. Step 4: Simplify right side
    22,116x = 216,621,499.84
  5. Step 5: Solve for x
    x = 216,621,499.84/22,116
  6. Step 6: Final answer
    x = 9,794.79

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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.