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Finding the Fourth Proportional to 15,233.16, 22,845.42 and 5,997

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Solution

The fourth proportional to 15,233.16, 22,845.42 and 5,997 is: 8,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.16 : 22,845.42 = 5,997 : x
  2. Step 2: Convert to fraction form
    15,233.16/22,845.42 = 5,997/x
  3. Step 3: Cross multiply
    15,233.16x = 22,845.42 × 5,997
  4. Step 4: Simplify right side
    15,233.16x = 137,003,983.74
  5. Step 5: Solve for x
    x = 137,003,983.74/15,233.16
  6. Step 6: Final answer
    x = 8,993.80

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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.