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Finding the Fourth Proportional to 20,694.25, 31,030.44 and 9,001.09

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Solution

The fourth proportional to 20,694.25, 31,030.44 and 9,001.09 is: 13,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.25 : 31,030.44 = 9,001.09 : x
  2. Step 2: Convert to fraction form
    20,694.25/31,030.44 = 9,001.09/x
  3. Step 3: Cross multiply
    20,694.25x = 31,030.44 × 9,001.09
  4. Step 4: Simplify right side
    20,694.25x = 279,307,783.18
  5. Step 5: Solve for x
    x = 279,307,783.18/20,694.25
  6. Step 6: Final answer
    x = 13,496.88

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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.