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Finding the Fourth Proportional to 22,964.82, 31,693.28 and 12,893.92

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Solution

The fourth proportional to 22,964.82, 31,693.28 and 12,893.92 is: 17,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.82 : 31,693.28 = 12,893.92 : x
  2. Step 2: Convert to fraction form
    22,964.82/31,693.28 = 12,893.92/x
  3. Step 3: Cross multiply
    22,964.82x = 31,693.28 × 12,893.92
  4. Step 4: Simplify right side
    22,964.82x = 408,650,616.86
  5. Step 5: Solve for x
    x = 408,650,616.86/22,964.82
  6. Step 6: Final answer
    x = 17,794.64

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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.