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Finding the Fourth Proportional to 22,964.32, 31,692.59 and 12,893.42

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Solution

The fourth proportional to 22,964.32, 31,692.59 and 12,893.42 is: 17,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.32 : 31,692.59 = 12,893.42 : x
  2. Step 2: Convert to fraction form
    22,964.32/31,692.59 = 12,893.42/x
  3. Step 3: Cross multiply
    22,964.32x = 31,692.59 × 12,893.42
  4. Step 4: Simplify right side
    22,964.32x = 408,625,873.76
  5. Step 5: Solve for x
    x = 408,625,873.76/22,964.32
  6. Step 6: Final answer
    x = 17,793.95

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