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Finding the Fourth Proportional to 22,416.28, 33,616.50 and 6,617.08

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Solution

The fourth proportional to 22,416.28, 33,616.50 and 6,617.08 is: 9,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.28 : 33,616.50 = 6,617.08 : x
  2. Step 2: Convert to fraction form
    22,416.28/33,616.50 = 6,617.08/x
  3. Step 3: Cross multiply
    22,416.28x = 33,616.50 × 6,617.08
  4. Step 4: Simplify right side
    22,416.28x = 222,443,069.82
  5. Step 5: Solve for x
    x = 222,443,069.82/22,416.28
  6. Step 6: Final answer
    x = 9,923.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.