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Finding the Fourth Proportional to 23,033.16, 34,557.03 and 8,241.75

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Solution

The fourth proportional to 23,033.16, 34,557.03 and 8,241.75 is: 12,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.16 : 34,557.03 = 8,241.75 : x
  2. Step 2: Convert to fraction form
    23,033.16/34,557.03 = 8,241.75/x
  3. Step 3: Cross multiply
    23,033.16x = 34,557.03 × 8,241.75
  4. Step 4: Simplify right side
    23,033.16x = 284,810,402.00
  5. Step 5: Solve for x
    x = 284,810,402.00/23,033.16
  6. Step 6: Final answer
    x = 12,365.23

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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.