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Finding the Fourth Proportional to 25,219.80, 37,829.70 and 8,584.20

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Solution

The fourth proportional to 25,219.80, 37,829.70 and 8,584.20 is: 12,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.80 : 37,829.70 = 8,584.20 : x
  2. Step 2: Convert to fraction form
    25,219.80/37,829.70 = 8,584.20/x
  3. Step 3: Cross multiply
    25,219.80x = 37,829.70 × 8,584.20
  4. Step 4: Simplify right side
    25,219.80x = 324,737,710.74
  5. Step 5: Solve for x
    x = 324,737,710.74/25,219.80
  6. Step 6: Final answer
    x = 12,876.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.