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Finding the Fourth Proportional to 16,885, 23,302.74 and 9,434.44

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Solution

The fourth proportional to 16,885, 23,302.74 and 9,434.44 is: 13,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,885 : 23,302.74 = 9,434.44 : x
  2. Step 2: Convert to fraction form
    16,885/23,302.74 = 9,434.44/x
  3. Step 3: Cross multiply
    16,885x = 23,302.74 × 9,434.44
  4. Step 4: Simplify right side
    16,885x = 219,848,302.37
  5. Step 5: Solve for x
    x = 219,848,302.37/16,885
  6. Step 6: Final answer
    x = 13,020.33

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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.