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Finding the Fourth Proportional to 22,476.81, 33,716.84 and 8,625.81

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Solution

The fourth proportional to 22,476.81, 33,716.84 and 8,625.81 is: 12,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.81 : 33,716.84 = 8,625.81 : x
  2. Step 2: Convert to fraction form
    22,476.81/33,716.84 = 8,625.81/x
  3. Step 3: Cross multiply
    22,476.81x = 33,716.84 × 8,625.81
  4. Step 4: Simplify right side
    22,476.81x = 290,835,055.64
  5. Step 5: Solve for x
    x = 290,835,055.64/22,476.81
  6. Step 6: Final answer
    x = 12,939.34

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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.