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Finding the Fourth Proportional to 14,629.76, 20,198.52 and 9,044

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Solution

The fourth proportional to 14,629.76, 20,198.52 and 9,044 is: 12,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.76 : 20,198.52 = 9,044 : x
  2. Step 2: Convert to fraction form
    14,629.76/20,198.52 = 9,044/x
  3. Step 3: Cross multiply
    14,629.76x = 20,198.52 × 9,044
  4. Step 4: Simplify right side
    14,629.76x = 182,675,414.88
  5. Step 5: Solve for x
    x = 182,675,414.88/14,629.76
  6. Step 6: Final answer
    x = 12,486.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.