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Finding the Fourth Proportional to 23,112.19, 34,665.54 and 6,473.44

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Solution

The fourth proportional to 23,112.19, 34,665.54 and 6,473.44 is: 9,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.19 : 34,665.54 = 6,473.44 : x
  2. Step 2: Convert to fraction form
    23,112.19/34,665.54 = 6,473.44/x
  3. Step 3: Cross multiply
    23,112.19x = 34,665.54 × 6,473.44
  4. Step 4: Simplify right side
    23,112.19x = 224,405,293.26
  5. Step 5: Solve for x
    x = 224,405,293.26/23,112.19
  6. Step 6: Final answer
    x = 9,709.39

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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.