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Finding the Fourth Proportional to 21,078.27, 31,606.77 and 7,033.32

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Solution

The fourth proportional to 21,078.27, 31,606.77 and 7,033.32 is: 10,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.27 : 31,606.77 = 7,033.32 : x
  2. Step 2: Convert to fraction form
    21,078.27/31,606.77 = 7,033.32/x
  3. Step 3: Cross multiply
    21,078.27x = 31,606.77 × 7,033.32
  4. Step 4: Simplify right side
    21,078.27x = 222,300,527.58
  5. Step 5: Solve for x
    x = 222,300,527.58/21,078.27
  6. Step 6: Final answer
    x = 10,546.43

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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.