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Finding the Fourth Proportional to 23,381.87, 35,074.01 and 11,691.14

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Solution

The fourth proportional to 23,381.87, 35,074.01 and 11,691.14 is: 17,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.87 : 35,074.01 = 11,691.14 : x
  2. Step 2: Convert to fraction form
    23,381.87/35,074.01 = 11,691.14/x
  3. Step 3: Cross multiply
    23,381.87x = 35,074.01 × 11,691.14
  4. Step 4: Simplify right side
    23,381.87x = 410,055,015.13
  5. Step 5: Solve for x
    x = 410,055,015.13/23,381.87
  6. Step 6: Final answer
    x = 17,537.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.