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Finding the Fourth Proportional to 17,288.40, 23,855.34 and 9,734.34

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Solution

The fourth proportional to 17,288.40, 23,855.34 and 9,734.34 is: 13,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.40 : 23,855.34 = 9,734.34 : x
  2. Step 2: Convert to fraction form
    17,288.40/23,855.34 = 9,734.34/x
  3. Step 3: Cross multiply
    17,288.40x = 23,855.34 × 9,734.34
  4. Step 4: Simplify right side
    17,288.40x = 232,215,990.38
  5. Step 5: Solve for x
    x = 232,215,990.38/17,288.40
  6. Step 6: Final answer
    x = 13,431.90

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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.