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Finding the Fourth Proportional to 23,320, 34,985.92 and 6,904

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Solution

The fourth proportional to 23,320, 34,985.92 and 6,904 is: 10,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,320 : 34,985.92 = 6,904 : x
  2. Step 2: Convert to fraction form
    23,320/34,985.92 = 6,904/x
  3. Step 3: Cross multiply
    23,320x = 34,985.92 × 6,904
  4. Step 4: Simplify right side
    23,320x = 241,542,791.68
  5. Step 5: Solve for x
    x = 241,542,791.68/23,320
  6. Step 6: Final answer
    x = 10,357.75

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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.