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Finding the Fourth Proportional to 17,578, 26,373.48 and 9,257.68

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Solution

The fourth proportional to 17,578, 26,373.48 and 9,257.68 is: 13,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578 : 26,373.48 = 9,257.68 : x
  2. Step 2: Convert to fraction form
    17,578/26,373.48 = 9,257.68/x
  3. Step 3: Cross multiply
    17,578x = 26,373.48 × 9,257.68
  4. Step 4: Simplify right side
    17,578x = 244,157,238.33
  5. Step 5: Solve for x
    x = 244,157,238.33/17,578
  6. Step 6: Final answer
    x = 13,889.93

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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.