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Finding the Fourth Proportional to 16,912.61, 23,345.16 and 9,844.97

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Solution

The fourth proportional to 16,912.61, 23,345.16 and 9,844.97 is: 13,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.61 : 23,345.16 = 9,844.97 : x
  2. Step 2: Convert to fraction form
    16,912.61/23,345.16 = 9,844.97/x
  3. Step 3: Cross multiply
    16,912.61x = 23,345.16 × 9,844.97
  4. Step 4: Simplify right side
    16,912.61x = 229,832,399.85
  5. Step 5: Solve for x
    x = 229,832,399.85/16,912.61
  6. Step 6: Final answer
    x = 13,589.41

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1.5x scale

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.