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Finding the Fourth Proportional to 22,433.76, 33,650.64 and 6,851.52

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Solution

The fourth proportional to 22,433.76, 33,650.64 and 6,851.52 is: 10,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.76 : 33,650.64 = 6,851.52 : x
  2. Step 2: Convert to fraction form
    22,433.76/33,650.64 = 6,851.52/x
  3. Step 3: Cross multiply
    22,433.76x = 33,650.64 × 6,851.52
  4. Step 4: Simplify right side
    22,433.76x = 230,558,032.97
  5. Step 5: Solve for x
    x = 230,558,032.97/22,433.76
  6. Step 6: Final answer
    x = 10,277.28

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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.