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Finding the Fourth Proportional to 22,356, 33,482.97 and 10,677.42

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Solution

The fourth proportional to 22,356, 33,482.97 and 10,677.42 is: 15,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 33,482.97 = 10,677.42 : x
  2. Step 2: Convert to fraction form
    22,356/33,482.97 = 10,677.42/x
  3. Step 3: Cross multiply
    22,356x = 33,482.97 × 10,677.42
  4. Step 4: Simplify right side
    22,356x = 357,511,733.54
  5. Step 5: Solve for x
    x = 357,511,733.54/22,356
  6. Step 6: Final answer
    x = 15,991.76

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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.