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Finding the Fourth Proportional to 20,686.41, 31,008.02 and 8,996.49

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Solution

The fourth proportional to 20,686.41, 31,008.02 and 8,996.49 is: 13,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.41 : 31,008.02 = 8,996.49 : x
  2. Step 2: Convert to fraction form
    20,686.41/31,008.02 = 8,996.49/x
  3. Step 3: Cross multiply
    20,686.41x = 31,008.02 × 8,996.49
  4. Step 4: Simplify right side
    20,686.41x = 278,963,296.87
  5. Step 5: Solve for x
    x = 278,963,296.87/20,686.41
  6. Step 6: Final answer
    x = 13,485.34

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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.