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Finding the Fourth Proportional to 16,196.14, 24,294.22 and 9,265.78

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Solution

The fourth proportional to 16,196.14, 24,294.22 and 9,265.78 is: 13,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.14 : 24,294.22 = 9,265.78 : x
  2. Step 2: Convert to fraction form
    16,196.14/24,294.22 = 9,265.78/x
  3. Step 3: Cross multiply
    16,196.14x = 24,294.22 × 9,265.78
  4. Step 4: Simplify right side
    16,196.14x = 225,104,904.99
  5. Step 5: Solve for x
    x = 225,104,904.99/16,196.14
  6. Step 6: Final answer
    x = 13,898.68

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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.