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Finding the Fourth Proportional to 23,590.38, 35,383.14 and 7,794.84

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Solution

The fourth proportional to 23,590.38, 35,383.14 and 7,794.84 is: 11,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.38 : 35,383.14 = 7,794.84 : x
  2. Step 2: Convert to fraction form
    23,590.38/35,383.14 = 7,794.84/x
  3. Step 3: Cross multiply
    23,590.38x = 35,383.14 × 7,794.84
  4. Step 4: Simplify right side
    23,590.38x = 275,805,915.00
  5. Step 5: Solve for x
    x = 275,805,915.00/23,590.38
  6. Step 6: Final answer
    x = 11,691.46

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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.