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Finding the Fourth Proportional to 22,266, 33,405.84 and 9,119.43

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Solution

The fourth proportional to 22,266, 33,405.84 and 9,119.43 is: 13,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266 : 33,405.84 = 9,119.43 : x
  2. Step 2: Convert to fraction form
    22,266/33,405.84 = 9,119.43/x
  3. Step 3: Cross multiply
    22,266x = 33,405.84 × 9,119.43
  4. Step 4: Simplify right side
    22,266x = 304,642,219.47
  5. Step 5: Solve for x
    x = 304,642,219.47/22,266
  6. Step 6: Final answer
    x = 13,681.95

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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.