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Finding the Fourth Proportional to 22,274.88, 33,411.43 and 5,634.69

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Solution

The fourth proportional to 22,274.88, 33,411.43 and 5,634.69 is: 8,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.88 : 33,411.43 = 5,634.69 : x
  2. Step 2: Convert to fraction form
    22,274.88/33,411.43 = 5,634.69/x
  3. Step 3: Cross multiply
    22,274.88x = 33,411.43 × 5,634.69
  4. Step 4: Simplify right side
    22,274.88x = 188,263,050.51
  5. Step 5: Solve for x
    x = 188,263,050.51/22,274.88
  6. Step 6: Final answer
    x = 8,451.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.