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Finding the Fourth Proportional to 20,722.88, 31,100.69 and 9,044.30

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Solution

The fourth proportional to 20,722.88, 31,100.69 and 9,044.30 is: 13,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.88 : 31,100.69 = 9,044.30 : x
  2. Step 2: Convert to fraction form
    20,722.88/31,100.69 = 9,044.30/x
  3. Step 3: Cross multiply
    20,722.88x = 31,100.69 × 9,044.30
  4. Step 4: Simplify right side
    20,722.88x = 281,283,837.67
  5. Step 5: Solve for x
    x = 281,283,837.67/20,722.88
  6. Step 6: Final answer
    x = 13,573.59

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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.