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Finding the Fourth Proportional to 23,285.66, 34,905.94 and 9,241.07

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Solution

The fourth proportional to 23,285.66, 34,905.94 and 9,241.07 is: 13,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.66 : 34,905.94 = 9,241.07 : x
  2. Step 2: Convert to fraction form
    23,285.66/34,905.94 = 9,241.07/x
  3. Step 3: Cross multiply
    23,285.66x = 34,905.94 × 9,241.07
  4. Step 4: Simplify right side
    23,285.66x = 322,568,037.32
  5. Step 5: Solve for x
    x = 322,568,037.32/23,285.66
  6. Step 6: Final answer
    x = 13,852.65

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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.