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Finding the Fourth Proportional to 22,067.68, 33,036.72 and 14,254.24

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Solution

The fourth proportional to 22,067.68, 33,036.72 and 14,254.24 is: 21,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,067.68 : 33,036.72 = 14,254.24 : x
  2. Step 2: Convert to fraction form
    22,067.68/33,036.72 = 14,254.24/x
  3. Step 3: Cross multiply
    22,067.68x = 33,036.72 × 14,254.24
  4. Step 4: Simplify right side
    22,067.68x = 470,913,335.69
  5. Step 5: Solve for x
    x = 470,913,335.69/22,067.68
  6. Step 6: Final answer
    x = 21,339.50

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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.