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Finding the Fourth Proportional to 35,220.96, 52,797.84 and 11,830.80

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Solution

The fourth proportional to 35,220.96, 52,797.84 and 11,830.80 is: 17,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220.96 : 52,797.84 = 11,830.80 : x
  2. Step 2: Convert to fraction form
    35,220.96/52,797.84 = 11,830.80/x
  3. Step 3: Cross multiply
    35,220.96x = 52,797.84 × 11,830.80
  4. Step 4: Simplify right side
    35,220.96x = 624,640,685.47
  5. Step 5: Solve for x
    x = 624,640,685.47/35,220.96
  6. Step 6: Final answer
    x = 17,734.91

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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.