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Finding the Fourth Proportional to 23,529, 35,300.22 and 11,686.38

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Solution

The fourth proportional to 23,529, 35,300.22 and 11,686.38 is: 17,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 35,300.22 = 11,686.38 : x
  2. Step 2: Convert to fraction form
    23,529/35,300.22 = 11,686.38/x
  3. Step 3: Cross multiply
    23,529x = 35,300.22 × 11,686.38
  4. Step 4: Simplify right side
    23,529x = 412,531,785.00
  5. Step 5: Solve for x
    x = 412,531,785.00/23,529
  6. Step 6: Final answer
    x = 17,532.91

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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.