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Finding the Fourth Proportional to 16,146.54, 24,219.99 and 5,758.38

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Solution

The fourth proportional to 16,146.54, 24,219.99 and 5,758.38 is: 8,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.54 : 24,219.99 = 5,758.38 : x
  2. Step 2: Convert to fraction form
    16,146.54/24,219.99 = 5,758.38/x
  3. Step 3: Cross multiply
    16,146.54x = 24,219.99 × 5,758.38
  4. Step 4: Simplify right side
    16,146.54x = 139,467,906.02
  5. Step 5: Solve for x
    x = 139,467,906.02/16,146.54
  6. Step 6: Final answer
    x = 8,637.63

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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.