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Finding the Fourth Proportional to 23,222.36, 32,046.86 and 12,612

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Solution

The fourth proportional to 23,222.36, 32,046.86 and 12,612 is: 17,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.36 : 32,046.86 = 12,612 : x
  2. Step 2: Convert to fraction form
    23,222.36/32,046.86 = 12,612/x
  3. Step 3: Cross multiply
    23,222.36x = 32,046.86 × 12,612
  4. Step 4: Simplify right side
    23,222.36x = 404,174,998.32
  5. Step 5: Solve for x
    x = 404,174,998.32/23,222.36
  6. Step 6: Final answer
    x = 17,404.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.