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Finding the Fourth Proportional to 23,006.33, 34,447.94 and 13,510.82

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Solution

The fourth proportional to 23,006.33, 34,447.94 and 13,510.82 is: 20,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.33 : 34,447.94 = 13,510.82 : x
  2. Step 2: Convert to fraction form
    23,006.33/34,447.94 = 13,510.82/x
  3. Step 3: Cross multiply
    23,006.33x = 34,447.94 × 13,510.82
  4. Step 4: Simplify right side
    23,006.33x = 465,419,778.25
  5. Step 5: Solve for x
    x = 465,419,778.25/23,006.33
  6. Step 6: Final answer
    x = 20,230.08

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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.