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Finding the Fourth Proportional to 16,196.12, 24,296.94 and 7,431.78

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Solution

The fourth proportional to 16,196.12, 24,296.94 and 7,431.78 is: 11,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.12 : 24,296.94 = 7,431.78 : x
  2. Step 2: Convert to fraction form
    16,196.12/24,296.94 = 7,431.78/x
  3. Step 3: Cross multiply
    16,196.12x = 24,296.94 × 7,431.78
  4. Step 4: Simplify right side
    16,196.12x = 180,569,512.75
  5. Step 5: Solve for x
    x = 180,569,512.75/16,196.12
  6. Step 6: Final answer
    x = 11,148.94

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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.