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Finding the Fourth Proportional to 20,972.69, 31,490.01 and 13,996.16

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Solution

The fourth proportional to 20,972.69, 31,490.01 and 13,996.16 is: 21,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.69 : 31,490.01 = 13,996.16 : x
  2. Step 2: Convert to fraction form
    20,972.69/31,490.01 = 13,996.16/x
  3. Step 3: Cross multiply
    20,972.69x = 31,490.01 × 13,996.16
  4. Step 4: Simplify right side
    20,972.69x = 440,739,218.36
  5. Step 5: Solve for x
    x = 440,739,218.36/20,972.69
  6. Step 6: Final answer
    x = 21,014.91

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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.