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Finding the Fourth Proportional to 23,491.25, 35,228.73 and 9,447.11

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Solution

The fourth proportional to 23,491.25, 35,228.73 and 9,447.11 is: 14,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.25 : 35,228.73 = 9,447.11 : x
  2. Step 2: Convert to fraction form
    23,491.25/35,228.73 = 9,447.11/x
  3. Step 3: Cross multiply
    23,491.25x = 35,228.73 × 9,447.11
  4. Step 4: Simplify right side
    23,491.25x = 332,809,687.47
  5. Step 5: Solve for x
    x = 332,809,687.47/23,491.25
  6. Step 6: Final answer
    x = 14,167.39

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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.