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Finding the Fourth Proportional to 17,486.92, 26,224.70 and 5,797

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Solution

The fourth proportional to 17,486.92, 26,224.70 and 5,797 is: 8,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.92 : 26,224.70 = 5,797 : x
  2. Step 2: Convert to fraction form
    17,486.92/26,224.70 = 5,797/x
  3. Step 3: Cross multiply
    17,486.92x = 26,224.70 × 5,797
  4. Step 4: Simplify right side
    17,486.92x = 152,024,585.90
  5. Step 5: Solve for x
    x = 152,024,585.90/17,486.92
  6. Step 6: Final answer
    x = 8,693.62

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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.