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Finding the Fourth Proportional to 20,959.04, 31,450.72 and 7,820.48

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Solution

The fourth proportional to 20,959.04, 31,450.72 and 7,820.48 is: 11,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.04 : 31,450.72 = 7,820.48 : x
  2. Step 2: Convert to fraction form
    20,959.04/31,450.72 = 7,820.48/x
  3. Step 3: Cross multiply
    20,959.04x = 31,450.72 × 7,820.48
  4. Step 4: Simplify right side
    20,959.04x = 245,959,726.75
  5. Step 5: Solve for x
    x = 245,959,726.75/20,959.04
  6. Step 6: Final answer
    x = 11,735.26

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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.