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Finding the Fourth Proportional to 16,233.52, 22,402.74 and 9,942.34

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Solution

The fourth proportional to 16,233.52, 22,402.74 and 9,942.34 is: 13,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.52 : 22,402.74 = 9,942.34 : x
  2. Step 2: Convert to fraction form
    16,233.52/22,402.74 = 9,942.34/x
  3. Step 3: Cross multiply
    16,233.52x = 22,402.74 × 9,942.34
  4. Step 4: Simplify right side
    16,233.52x = 222,735,658.01
  5. Step 5: Solve for x
    x = 222,735,658.01/16,233.52
  6. Step 6: Final answer
    x = 13,720.72

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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.