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Finding the Fourth Proportional to 17,032.92, 25,540.74 and 7,791

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Solution

The fourth proportional to 17,032.92, 25,540.74 and 7,791 is: 11,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.92 : 25,540.74 = 7,791 : x
  2. Step 2: Convert to fraction form
    17,032.92/25,540.74 = 7,791/x
  3. Step 3: Cross multiply
    17,032.92x = 25,540.74 × 7,791
  4. Step 4: Simplify right side
    17,032.92x = 198,987,905.34
  5. Step 5: Solve for x
    x = 198,987,905.34/17,032.92
  6. Step 6: Final answer
    x = 11,682.55

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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.