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Finding the Fourth Proportional to 23,553.74, 35,333.66 and 7,760.38

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Solution

The fourth proportional to 23,553.74, 35,333.66 and 7,760.38 is: 11,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,553.74 : 35,333.66 = 7,760.38 : x
  2. Step 2: Convert to fraction form
    23,553.74/35,333.66 = 7,760.38/x
  3. Step 3: Cross multiply
    23,553.74x = 35,333.66 × 7,760.38
  4. Step 4: Simplify right side
    23,553.74x = 274,202,628.39
  5. Step 5: Solve for x
    x = 274,202,628.39/23,553.74
  6. Step 6: Final answer
    x = 11,641.57

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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.