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Finding the Fourth Proportional to 23,201.78, 34,803.20 and 5,671.76

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Solution

The fourth proportional to 23,201.78, 34,803.20 and 5,671.76 is: 8,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.78 : 34,803.20 = 5,671.76 : x
  2. Step 2: Convert to fraction form
    23,201.78/34,803.20 = 5,671.76/x
  3. Step 3: Cross multiply
    23,201.78x = 34,803.20 × 5,671.76
  4. Step 4: Simplify right side
    23,201.78x = 197,395,237.80
  5. Step 5: Solve for x
    x = 197,395,237.80/23,201.78
  6. Step 6: Final answer
    x = 8,507.76

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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.