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Finding the Fourth Proportional to 16,703, 23,049.18 and 9,149.32

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Solution

The fourth proportional to 16,703, 23,049.18 and 9,149.32 is: 12,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,703 : 23,049.18 = 9,149.32 : x
  2. Step 2: Convert to fraction form
    16,703/23,049.18 = 9,149.32/x
  3. Step 3: Cross multiply
    16,703x = 23,049.18 × 9,149.32
  4. Step 4: Simplify right side
    16,703x = 210,884,323.56
  5. Step 5: Solve for x
    x = 210,884,323.56/16,703
  6. Step 6: Final answer
    x = 12,625.54

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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.