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Finding the Fourth Proportional to 25,224.13, 37,836.50 and 8,584.50

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Solution

The fourth proportional to 25,224.13, 37,836.50 and 8,584.50 is: 12,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224.13 : 37,836.50 = 8,584.50 : x
  2. Step 2: Convert to fraction form
    25,224.13/37,836.50 = 8,584.50/x
  3. Step 3: Cross multiply
    25,224.13x = 37,836.50 × 8,584.50
  4. Step 4: Simplify right side
    25,224.13x = 324,807,434.25
  5. Step 5: Solve for x
    x = 324,807,434.25/25,224.13
  6. Step 6: Final answer
    x = 12,876.85

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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.