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Finding the Fourth Proportional to 16,197.77, 24,286.23 and 6,835.23

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Solution

The fourth proportional to 16,197.77, 24,286.23 and 6,835.23 is: 10,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.77 : 24,286.23 = 6,835.23 : x
  2. Step 2: Convert to fraction form
    16,197.77/24,286.23 = 6,835.23/x
  3. Step 3: Cross multiply
    16,197.77x = 24,286.23 × 6,835.23
  4. Step 4: Simplify right side
    16,197.77x = 166,001,967.88
  5. Step 5: Solve for x
    x = 166,001,967.88/16,197.77
  6. Step 6: Final answer
    x = 10,248.45

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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.