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Finding the Fourth Proportional to 22,500.64, 33,750.54 and 6,716.38

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Solution

The fourth proportional to 22,500.64, 33,750.54 and 6,716.38 is: 10,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500.64 : 33,750.54 = 6,716.38 : x
  2. Step 2: Convert to fraction form
    22,500.64/33,750.54 = 6,716.38/x
  3. Step 3: Cross multiply
    22,500.64x = 33,750.54 × 6,716.38
  4. Step 4: Simplify right side
    22,500.64x = 226,681,367.47
  5. Step 5: Solve for x
    x = 226,681,367.47/22,500.64
  6. Step 6: Final answer
    x = 10,074.44

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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.