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Finding the Fourth Proportional to 23,076.36, 34,627.50 and 9,226.44

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Solution

The fourth proportional to 23,076.36, 34,627.50 and 9,226.44 is: 13,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.36 : 34,627.50 = 9,226.44 : x
  2. Step 2: Convert to fraction form
    23,076.36/34,627.50 = 9,226.44/x
  3. Step 3: Cross multiply
    23,076.36x = 34,627.50 × 9,226.44
  4. Step 4: Simplify right side
    23,076.36x = 319,488,551.10
  5. Step 5: Solve for x
    x = 319,488,551.10/23,076.36
  6. Step 6: Final answer
    x = 13,844.84

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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.