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Finding the Fourth Proportional to 22,407.15, 33,615.60 and 6,824.37

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Solution

The fourth proportional to 22,407.15, 33,615.60 and 6,824.37 is: 10,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.15 : 33,615.60 = 6,824.37 : x
  2. Step 2: Convert to fraction form
    22,407.15/33,615.60 = 6,824.37/x
  3. Step 3: Cross multiply
    22,407.15x = 33,615.60 × 6,824.37
  4. Step 4: Simplify right side
    22,407.15x = 229,405,292.17
  5. Step 5: Solve for x
    x = 229,405,292.17/22,407.15
  6. Step 6: Final answer
    x = 10,238.04

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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.