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Finding the Fourth Proportional to 21,059.25, 31,578.30 and 7,014.33

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Solution

The fourth proportional to 21,059.25, 31,578.30 and 7,014.33 is: 10,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.25 : 31,578.30 = 7,014.33 : x
  2. Step 2: Convert to fraction form
    21,059.25/31,578.30 = 7,014.33/x
  3. Step 3: Cross multiply
    21,059.25x = 31,578.30 × 7,014.33
  4. Step 4: Simplify right side
    21,059.25x = 221,500,617.04
  5. Step 5: Solve for x
    x = 221,500,617.04/21,059.25
  6. Step 6: Final answer
    x = 10,517.97

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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.