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Finding the Fourth Proportional to 21,578.69, 32,375.82 and 7,540.79

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Solution

The fourth proportional to 21,578.69, 32,375.82 and 7,540.79 is: 11,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.69 : 32,375.82 = 7,540.79 : x
  2. Step 2: Convert to fraction form
    21,578.69/32,375.82 = 7,540.79/x
  3. Step 3: Cross multiply
    21,578.69x = 32,375.82 × 7,540.79
  4. Step 4: Simplify right side
    21,578.69x = 244,139,259.70
  5. Step 5: Solve for x
    x = 244,139,259.70/21,578.69
  6. Step 6: Final answer
    x = 11,313.91

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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.