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Finding the Fourth Proportional to 17,224.23, 25,814.78 and 7,351.95

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Solution

The fourth proportional to 17,224.23, 25,814.78 and 7,351.95 is: 11,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.23 : 25,814.78 = 7,351.95 : x
  2. Step 2: Convert to fraction form
    17,224.23/25,814.78 = 7,351.95/x
  3. Step 3: Cross multiply
    17,224.23x = 25,814.78 × 7,351.95
  4. Step 4: Simplify right side
    17,224.23x = 189,788,971.82
  5. Step 5: Solve for x
    x = 189,788,971.82/17,224.23
  6. Step 6: Final answer
    x = 11,018.72

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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.