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Finding the Fourth Proportional to 17,703.92, 26,561.49 and 5,224

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Solution

The fourth proportional to 17,703.92, 26,561.49 and 5,224 is: 7,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.92 : 26,561.49 = 5,224 : x
  2. Step 2: Convert to fraction form
    17,703.92/26,561.49 = 5,224/x
  3. Step 3: Cross multiply
    17,703.92x = 26,561.49 × 5,224
  4. Step 4: Simplify right side
    17,703.92x = 138,757,223.76
  5. Step 5: Solve for x
    x = 138,757,223.76/17,703.92
  6. Step 6: Final answer
    x = 7,837.66

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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.