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Finding the Fourth Proportional to 23,712.25, 35,557.89 and 12,616.30

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Solution

The fourth proportional to 23,712.25, 35,557.89 and 12,616.30 is: 18,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.25 : 35,557.89 = 12,616.30 : x
  2. Step 2: Convert to fraction form
    23,712.25/35,557.89 = 12,616.30/x
  3. Step 3: Cross multiply
    23,712.25x = 35,557.89 × 12,616.30
  4. Step 4: Simplify right side
    23,712.25x = 448,609,007.61
  5. Step 5: Solve for x
    x = 448,609,007.61/23,712.25
  6. Step 6: Final answer
    x = 18,918.87

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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.