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Finding the Fourth Proportional to 16,773.93, 23,142.06 and 9,966.24

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Solution

The fourth proportional to 16,773.93, 23,142.06 and 9,966.24 is: 13,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,773.93 : 23,142.06 = 9,966.24 : x
  2. Step 2: Convert to fraction form
    16,773.93/23,142.06 = 9,966.24/x
  3. Step 3: Cross multiply
    16,773.93x = 23,142.06 × 9,966.24
  4. Step 4: Simplify right side
    16,773.93x = 230,639,324.05
  5. Step 5: Solve for x
    x = 230,639,324.05/16,773.93
  6. Step 6: Final answer
    x = 13,749.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.