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Finding the Fourth Proportional to 17,801.38, 24,564.92 and 9,843.08

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Solution

The fourth proportional to 17,801.38, 24,564.92 and 9,843.08 is: 13,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.38 : 24,564.92 = 9,843.08 : x
  2. Step 2: Convert to fraction form
    17,801.38/24,564.92 = 9,843.08/x
  3. Step 3: Cross multiply
    17,801.38x = 24,564.92 × 9,843.08
  4. Step 4: Simplify right side
    17,801.38x = 241,794,472.75
  5. Step 5: Solve for x
    x = 241,794,472.75/17,801.38
  6. Step 6: Final answer
    x = 13,582.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.