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Finding the Fourth Proportional to 23,777.46, 35,671.05 and 8,193.06

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Solution

The fourth proportional to 23,777.46, 35,671.05 and 8,193.06 is: 12,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.46 : 35,671.05 = 8,193.06 : x
  2. Step 2: Convert to fraction form
    23,777.46/35,671.05 = 8,193.06/x
  3. Step 3: Cross multiply
    23,777.46x = 35,671.05 × 8,193.06
  4. Step 4: Simplify right side
    23,777.46x = 292,255,052.91
  5. Step 5: Solve for x
    x = 292,255,052.91/23,777.46
  6. Step 6: Final answer
    x = 12,291.26

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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.