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Finding the Fourth Proportional to 23,338.50, 35,007.75 and 6,922.50

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Solution

The fourth proportional to 23,338.50, 35,007.75 and 6,922.50 is: 10,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.50 : 35,007.75 = 6,922.50 : x
  2. Step 2: Convert to fraction form
    23,338.50/35,007.75 = 6,922.50/x
  3. Step 3: Cross multiply
    23,338.50x = 35,007.75 × 6,922.50
  4. Step 4: Simplify right side
    23,338.50x = 242,341,149.38
  5. Step 5: Solve for x
    x = 242,341,149.38/23,338.50
  6. Step 6: Final answer
    x = 10,383.75

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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.