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Finding the Fourth Proportional to 17,457.60, 26,196 and 8,223.36

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Solution

The fourth proportional to 17,457.60, 26,196 and 8,223.36 is: 12,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.60 : 26,196 = 8,223.36 : x
  2. Step 2: Convert to fraction form
    17,457.60/26,196 = 8,223.36/x
  3. Step 3: Cross multiply
    17,457.60x = 26,196 × 8,223.36
  4. Step 4: Simplify right side
    17,457.60x = 215,419,138.56
  5. Step 5: Solve for x
    x = 215,419,138.56/17,457.60
  6. Step 6: Final answer
    x = 12,339.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.