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Finding the Fourth Proportional to 21,224.22, 31,849.09 and 7,907.01

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Solution

The fourth proportional to 21,224.22, 31,849.09 and 7,907.01 is: 11,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.22 : 31,849.09 = 7,907.01 : x
  2. Step 2: Convert to fraction form
    21,224.22/31,849.09 = 7,907.01/x
  3. Step 3: Cross multiply
    21,224.22x = 31,849.09 × 7,907.01
  4. Step 4: Simplify right side
    21,224.22x = 251,831,217.26
  5. Step 5: Solve for x
    x = 251,831,217.26/21,224.22
  6. Step 6: Final answer
    x = 11,865.27

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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.