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Finding the Fourth Proportional to 22,586.09, 33,878.82 and 7,003.71

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Solution

The fourth proportional to 22,586.09, 33,878.82 and 7,003.71 is: 10,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.09 : 33,878.82 = 7,003.71 : x
  2. Step 2: Convert to fraction form
    22,586.09/33,878.82 = 7,003.71/x
  3. Step 3: Cross multiply
    22,586.09x = 33,878.82 × 7,003.71
  4. Step 4: Simplify right side
    22,586.09x = 237,277,456.69
  5. Step 5: Solve for x
    x = 237,277,456.69/22,586.09
  6. Step 6: Final answer
    x = 10,505.47

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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.