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Finding the Fourth Proportional to 17,572.26, 26,340.04 and 7,703.22

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Solution

The fourth proportional to 17,572.26, 26,340.04 and 7,703.22 is: 11,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572.26 : 26,340.04 = 7,703.22 : x
  2. Step 2: Convert to fraction form
    17,572.26/26,340.04 = 7,703.22/x
  3. Step 3: Cross multiply
    17,572.26x = 26,340.04 × 7,703.22
  4. Step 4: Simplify right side
    17,572.26x = 202,903,122.93
  5. Step 5: Solve for x
    x = 202,903,122.93/17,572.26
  6. Step 6: Final answer
    x = 11,546.79

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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.