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Finding the Fourth Proportional to 21,007.68, 31,489.44 and 19,914

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Solution

The fourth proportional to 21,007.68, 31,489.44 and 19,914 is: 29,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.68 : 31,489.44 = 19,914 : x
  2. Step 2: Convert to fraction form
    21,007.68/31,489.44 = 19,914/x
  3. Step 3: Cross multiply
    21,007.68x = 31,489.44 × 19,914
  4. Step 4: Simplify right side
    21,007.68x = 627,080,708.16
  5. Step 5: Solve for x
    x = 627,080,708.16/21,007.68
  6. Step 6: Final answer
    x = 29,850.07

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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.