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Finding the Fourth Proportional to 20,705.20, 31,086.60 and 12,929.20

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Solution

The fourth proportional to 20,705.20, 31,086.60 and 12,929.20 is: 19,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.20 : 31,086.60 = 12,929.20 : x
  2. Step 2: Convert to fraction form
    20,705.20/31,086.60 = 12,929.20/x
  3. Step 3: Cross multiply
    20,705.20x = 31,086.60 × 12,929.20
  4. Step 4: Simplify right side
    20,705.20x = 401,924,868.72
  5. Step 5: Solve for x
    x = 401,924,868.72/20,705.20
  6. Step 6: Final answer
    x = 19,411.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.