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Finding the Fourth Proportional to 23,233.80, 34,850.70 and 7,649.40

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Solution

The fourth proportional to 23,233.80, 34,850.70 and 7,649.40 is: 11,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.80 : 34,850.70 = 7,649.40 : x
  2. Step 2: Convert to fraction form
    23,233.80/34,850.70 = 7,649.40/x
  3. Step 3: Cross multiply
    23,233.80x = 34,850.70 × 7,649.40
  4. Step 4: Simplify right side
    23,233.80x = 266,586,944.58
  5. Step 5: Solve for x
    x = 266,586,944.58/23,233.80
  6. Step 6: Final answer
    x = 11,474.10

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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.