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Finding the Fourth Proportional to 17,600.70, 26,405.64 and 7,741.92

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Solution

The fourth proportional to 17,600.70, 26,405.64 and 7,741.92 is: 11,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.70 : 26,405.64 = 7,741.92 : x
  2. Step 2: Convert to fraction form
    17,600.70/26,405.64 = 7,741.92/x
  3. Step 3: Cross multiply
    17,600.70x = 26,405.64 × 7,741.92
  4. Step 4: Simplify right side
    17,600.70x = 204,430,352.43
  5. Step 5: Solve for x
    x = 204,430,352.43/17,600.70
  6. Step 6: Final answer
    x = 11,614.90

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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.