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Finding the Fourth Proportional to 16,887, 23,305.50 and 9,436.44

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Solution

The fourth proportional to 16,887, 23,305.50 and 9,436.44 is: 13,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887 : 23,305.50 = 9,436.44 : x
  2. Step 2: Convert to fraction form
    16,887/23,305.50 = 9,436.44/x
  3. Step 3: Cross multiply
    16,887x = 23,305.50 × 9,436.44
  4. Step 4: Simplify right side
    16,887x = 219,920,952.42
  5. Step 5: Solve for x
    x = 219,920,952.42/16,887
  6. Step 6: Final answer
    x = 13,023.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.