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Finding the Fourth Proportional to 22,729, 31,366.50 and 12,793

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Solution

The fourth proportional to 22,729, 31,366.50 and 12,793 is: 17,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729 : 31,366.50 = 12,793 : x
  2. Step 2: Convert to fraction form
    22,729/31,366.50 = 12,793/x
  3. Step 3: Cross multiply
    22,729x = 31,366.50 × 12,793
  4. Step 4: Simplify right side
    22,729x = 401,271,634.50
  5. Step 5: Solve for x
    x = 401,271,634.50/22,729
  6. Step 6: Final answer
    x = 17,654.61

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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.