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Finding the Fourth Proportional to 16,992.72, 23,452.74 and 9,822.87

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Solution

The fourth proportional to 16,992.72, 23,452.74 and 9,822.87 is: 13,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992.72 : 23,452.74 = 9,822.87 : x
  2. Step 2: Convert to fraction form
    16,992.72/23,452.74 = 9,822.87/x
  3. Step 3: Cross multiply
    16,992.72x = 23,452.74 × 9,822.87
  4. Step 4: Simplify right side
    16,992.72x = 230,373,216.16
  5. Step 5: Solve for x
    x = 230,373,216.16/16,992.72
  6. Step 6: Final answer
    x = 13,557.17

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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.