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Finding the Fourth Proportional to 25,342.80, 38,014.20 and 10,546.80

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Solution

The fourth proportional to 25,342.80, 38,014.20 and 10,546.80 is: 15,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.80 : 38,014.20 = 10,546.80 : x
  2. Step 2: Convert to fraction form
    25,342.80/38,014.20 = 10,546.80/x
  3. Step 3: Cross multiply
    25,342.80x = 38,014.20 × 10,546.80
  4. Step 4: Simplify right side
    25,342.80x = 400,928,164.56
  5. Step 5: Solve for x
    x = 400,928,164.56/25,342.80
  6. Step 6: Final answer
    x = 15,820.20

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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.