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Finding the Fourth Proportional to 12,033.39, 16,610.64 and 10,772.17

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Solution

The fourth proportional to 12,033.39, 16,610.64 and 10,772.17 is: 14,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.39 : 16,610.64 = 10,772.17 : x
  2. Step 2: Convert to fraction form
    12,033.39/16,610.64 = 10,772.17/x
  3. Step 3: Cross multiply
    12,033.39x = 16,610.64 × 10,772.17
  4. Step 4: Simplify right side
    12,033.39x = 178,932,637.89
  5. Step 5: Solve for x
    x = 178,932,637.89/12,033.39
  6. Step 6: Final answer
    x = 14,869.68

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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.