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Finding the Fourth Proportional to 23,533.90, 35,305.20 and 7,739.80

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Solution

The fourth proportional to 23,533.90, 35,305.20 and 7,739.80 is: 11,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.90 : 35,305.20 = 7,739.80 : x
  2. Step 2: Convert to fraction form
    23,533.90/35,305.20 = 7,739.80/x
  3. Step 3: Cross multiply
    23,533.90x = 35,305.20 × 7,739.80
  4. Step 4: Simplify right side
    23,533.90x = 273,255,010.43
  5. Step 5: Solve for x
    x = 273,255,010.43/23,533.90
  6. Step 6: Final answer
    x = 11,611.13

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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.