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Finding the Fourth Proportional to 12,415.43, 18,623.66 and 5,837.02

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Solution

The fourth proportional to 12,415.43, 18,623.66 and 5,837.02 is: 8,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.43 : 18,623.66 = 5,837.02 : x
  2. Step 2: Convert to fraction form
    12,415.43/18,623.66 = 5,837.02/x
  3. Step 3: Cross multiply
    12,415.43x = 18,623.66 × 5,837.02
  4. Step 4: Simplify right side
    12,415.43x = 108,706,600.15
  5. Step 5: Solve for x
    x = 108,706,600.15/12,415.43
  6. Step 6: Final answer
    x = 8,755.76

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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.