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Finding the Fourth Proportional to 16,192.49, 24,288.73 and 9,262.13

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Solution

The fourth proportional to 16,192.49, 24,288.73 and 9,262.13 is: 13,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.49 : 24,288.73 = 9,262.13 : x
  2. Step 2: Convert to fraction form
    16,192.49/24,288.73 = 9,262.13/x
  3. Step 3: Cross multiply
    16,192.49x = 24,288.73 × 9,262.13
  4. Step 4: Simplify right side
    16,192.49x = 224,965,230.20
  5. Step 5: Solve for x
    x = 224,965,230.20/16,192.49
  6. Step 6: Final answer
    x = 13,893.19

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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.