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Finding the Fourth Proportional to 25,842.70, 35,667.57 and 15,231.70

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Solution

The fourth proportional to 25,842.70, 35,667.57 and 15,231.70 is: 21,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.70 : 35,667.57 = 15,231.70 : x
  2. Step 2: Convert to fraction form
    25,842.70/35,667.57 = 15,231.70/x
  3. Step 3: Cross multiply
    25,842.70x = 35,667.57 × 15,231.70
  4. Step 4: Simplify right side
    25,842.70x = 543,277,725.97
  5. Step 5: Solve for x
    x = 543,277,725.97/25,842.70
  6. Step 6: Final answer
    x = 21,022.48

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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.