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Finding the Fourth Proportional to 25,134.80, 37,680.60 and 12,822.80

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Solution

The fourth proportional to 25,134.80, 37,680.60 and 12,822.80 is: 19,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.80 : 37,680.60 = 12,822.80 : x
  2. Step 2: Convert to fraction form
    25,134.80/37,680.60 = 12,822.80/x
  3. Step 3: Cross multiply
    25,134.80x = 37,680.60 × 12,822.80
  4. Step 4: Simplify right side
    25,134.80x = 483,170,797.68
  5. Step 5: Solve for x
    x = 483,170,797.68/25,134.80
  6. Step 6: Final answer
    x = 19,223.18

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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.