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Finding the Fourth Proportional to 22,352.36, 33,532.58 and 9,197.55

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Solution

The fourth proportional to 22,352.36, 33,532.58 and 9,197.55 is: 13,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.36 : 33,532.58 = 9,197.55 : x
  2. Step 2: Convert to fraction form
    22,352.36/33,532.58 = 9,197.55/x
  3. Step 3: Cross multiply
    22,352.36x = 33,532.58 × 9,197.55
  4. Step 4: Simplify right side
    22,352.36x = 308,417,604.17
  5. Step 5: Solve for x
    x = 308,417,604.17/22,352.36
  6. Step 6: Final answer
    x = 13,797.99

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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.