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Finding the Fourth Proportional to 22,251.32, 33,371.22 and 9,101.24

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Solution

The fourth proportional to 22,251.32, 33,371.22 and 9,101.24 is: 13,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.32 : 33,371.22 = 9,101.24 : x
  2. Step 2: Convert to fraction form
    22,251.32/33,371.22 = 9,101.24/x
  3. Step 3: Cross multiply
    22,251.32x = 33,371.22 × 9,101.24
  4. Step 4: Simplify right side
    22,251.32x = 303,719,482.31
  5. Step 5: Solve for x
    x = 303,719,482.31/22,251.32
  6. Step 6: Final answer
    x = 13,649.50

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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.