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Finding the Fourth Proportional to 16,218, 24,295.50 and 10,654.44

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Solution

The fourth proportional to 16,218, 24,295.50 and 10,654.44 is: 15,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218 : 24,295.50 = 10,654.44 : x
  2. Step 2: Convert to fraction form
    16,218/24,295.50 = 10,654.44/x
  3. Step 3: Cross multiply
    16,218x = 24,295.50 × 10,654.44
  4. Step 4: Simplify right side
    16,218x = 258,854,947.02
  5. Step 5: Solve for x
    x = 258,854,947.02/16,218
  6. Step 6: Final answer
    x = 15,960.97

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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.