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Finding the Fourth Proportional to 25,350.35, 38,012.84 and 7,817.90

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Solution

The fourth proportional to 25,350.35, 38,012.84 and 7,817.90 is: 11,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350.35 : 38,012.84 = 7,817.90 : x
  2. Step 2: Convert to fraction form
    25,350.35/38,012.84 = 7,817.90/x
  3. Step 3: Cross multiply
    25,350.35x = 38,012.84 × 7,817.90
  4. Step 4: Simplify right side
    25,350.35x = 297,180,542.75
  5. Step 5: Solve for x
    x = 297,180,542.75/25,350.35
  6. Step 6: Final answer
    x = 11,722.94

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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.