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Finding the Fourth Proportional to 22,366, 33,550.14 and 5,726.17

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Solution

The fourth proportional to 22,366, 33,550.14 and 5,726.17 is: 8,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366 : 33,550.14 = 5,726.17 : x
  2. Step 2: Convert to fraction form
    22,366/33,550.14 = 5,726.17/x
  3. Step 3: Cross multiply
    22,366x = 33,550.14 × 5,726.17
  4. Step 4: Simplify right side
    22,366x = 192,113,805.16
  5. Step 5: Solve for x
    x = 192,113,805.16/22,366
  6. Step 6: Final answer
    x = 8,589.55

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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.