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Finding the Fourth Proportional to 16,218.50, 24,296.28 and 10,654.96

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Solution

The fourth proportional to 16,218.50, 24,296.28 and 10,654.96 is: 15,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.50 : 24,296.28 = 10,654.96 : x
  2. Step 2: Convert to fraction form
    16,218.50/24,296.28 = 10,654.96/x
  3. Step 3: Cross multiply
    16,218.50x = 24,296.28 × 10,654.96
  4. Step 4: Simplify right side
    16,218.50x = 258,875,891.55
  5. Step 5: Solve for x
    x = 258,875,891.55/16,218.50
  6. Step 6: Final answer
    x = 15,961.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.