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Finding the Fourth Proportional to 20,662.20, 31,022.10 and 12,886.20

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Solution

The fourth proportional to 20,662.20, 31,022.10 and 12,886.20 is: 19,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662.20 : 31,022.10 = 12,886.20 : x
  2. Step 2: Convert to fraction form
    20,662.20/31,022.10 = 12,886.20/x
  3. Step 3: Cross multiply
    20,662.20x = 31,022.10 × 12,886.20
  4. Step 4: Simplify right side
    20,662.20x = 399,756,985.02
  5. Step 5: Solve for x
    x = 399,756,985.02/20,662.20
  6. Step 6: Final answer
    x = 19,347.26

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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.