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Finding the Fourth Proportional to 22,292.69, 33,459.84 and 11,770.50

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Solution

The fourth proportional to 22,292.69, 33,459.84 and 11,770.50 is: 17,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.69 : 33,459.84 = 11,770.50 : x
  2. Step 2: Convert to fraction form
    22,292.69/33,459.84 = 11,770.50/x
  3. Step 3: Cross multiply
    22,292.69x = 33,459.84 × 11,770.50
  4. Step 4: Simplify right side
    22,292.69x = 393,839,046.72
  5. Step 5: Solve for x
    x = 393,839,046.72/22,292.69
  6. Step 6: Final answer
    x = 17,666.73

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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.