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Finding the Fourth Proportional to 22,679.64, 31,296 and 12,606.84

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Solution

The fourth proportional to 22,679.64, 31,296 and 12,606.84 is: 17,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,679.64 : 31,296 = 12,606.84 : x
  2. Step 2: Convert to fraction form
    22,679.64/31,296 = 12,606.84/x
  3. Step 3: Cross multiply
    22,679.64x = 31,296 × 12,606.84
  4. Step 4: Simplify right side
    22,679.64x = 394,543,664.64
  5. Step 5: Solve for x
    x = 394,543,664.64/22,679.64
  6. Step 6: Final answer
    x = 17,396.38

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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.