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Finding the Fourth Proportional to 17,490.82, 26,228.49 and 5,008

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Solution

The fourth proportional to 17,490.82, 26,228.49 and 5,008 is: 7,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.82 : 26,228.49 = 5,008 : x
  2. Step 2: Convert to fraction form
    17,490.82/26,228.49 = 5,008/x
  3. Step 3: Cross multiply
    17,490.82x = 26,228.49 × 5,008
  4. Step 4: Simplify right side
    17,490.82x = 131,352,277.92
  5. Step 5: Solve for x
    x = 131,352,277.92/17,490.82
  6. Step 6: Final answer
    x = 7,509.78

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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.