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Finding the Fourth Proportional to 16,196.67, 24,286.05 and 5,663.88

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Solution

The fourth proportional to 16,196.67, 24,286.05 and 5,663.88 is: 8,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.67 : 24,286.05 = 5,663.88 : x
  2. Step 2: Convert to fraction form
    16,196.67/24,286.05 = 5,663.88/x
  3. Step 3: Cross multiply
    16,196.67x = 24,286.05 × 5,663.88
  4. Step 4: Simplify right side
    16,196.67x = 137,553,272.87
  5. Step 5: Solve for x
    x = 137,553,272.87/16,196.67
  6. Step 6: Final answer
    x = 8,492.69

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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.