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Finding the Fourth Proportional to 17,733.70, 26,606.67 and 7,879.90

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Solution

The fourth proportional to 17,733.70, 26,606.67 and 7,879.90 is: 11,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.70 : 26,606.67 = 7,879.90 : x
  2. Step 2: Convert to fraction form
    17,733.70/26,606.67 = 7,879.90/x
  3. Step 3: Cross multiply
    17,733.70x = 26,606.67 × 7,879.90
  4. Step 4: Simplify right side
    17,733.70x = 209,657,898.93
  5. Step 5: Solve for x
    x = 209,657,898.93/17,733.70
  6. Step 6: Final answer
    x = 11,822.57

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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.