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Finding the Fourth Proportional to 23,216.67, 32,039.24 and 12,606.39

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Solution

The fourth proportional to 23,216.67, 32,039.24 and 12,606.39 is: 17,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.67 : 32,039.24 = 12,606.39 : x
  2. Step 2: Convert to fraction form
    23,216.67/32,039.24 = 12,606.39/x
  3. Step 3: Cross multiply
    23,216.67x = 32,039.24 × 12,606.39
  4. Step 4: Simplify right side
    23,216.67x = 403,899,091.71
  5. Step 5: Solve for x
    x = 403,899,091.71/23,216.67
  6. Step 6: Final answer
    x = 17,396.94

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Why These Related Problems?

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