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Finding the Fourth Proportional to 23,868.56, 35,802.84 and 8,286.14

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Solution

The fourth proportional to 23,868.56, 35,802.84 and 8,286.14 is: 12,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868.56 : 35,802.84 = 8,286.14 : x
  2. Step 2: Convert to fraction form
    23,868.56/35,802.84 = 8,286.14/x
  3. Step 3: Cross multiply
    23,868.56x = 35,802.84 × 8,286.14
  4. Step 4: Simplify right side
    23,868.56x = 296,667,344.64
  5. Step 5: Solve for x
    x = 296,667,344.64/23,868.56
  6. Step 6: Final answer
    x = 12,429.21

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Similar ratio
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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.