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Finding the Fourth Proportional to 23,293.97, 34,946.42 and 6,654.24

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Solution

The fourth proportional to 23,293.97, 34,946.42 and 6,654.24 is: 9,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.97 : 34,946.42 = 6,654.24 : x
  2. Step 2: Convert to fraction form
    23,293.97/34,946.42 = 6,654.24/x
  3. Step 3: Cross multiply
    23,293.97x = 34,946.42 × 6,654.24
  4. Step 4: Simplify right side
    23,293.97x = 232,541,865.82
  5. Step 5: Solve for x
    x = 232,541,865.82/23,293.97
  6. Step 6: Final answer
    x = 9,982.92

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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.