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Finding the Fourth Proportional to 12,354.81, 17,033.13 and 10,222.49

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Solution

The fourth proportional to 12,354.81, 17,033.13 and 10,222.49 is: 14,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.81 : 17,033.13 = 10,222.49 : x
  2. Step 2: Convert to fraction form
    12,354.81/17,033.13 = 10,222.49/x
  3. Step 3: Cross multiply
    12,354.81x = 17,033.13 × 10,222.49
  4. Step 4: Simplify right side
    12,354.81x = 174,120,915.93
  5. Step 5: Solve for x
    x = 174,120,915.93/12,354.81
  6. Step 6: Final answer
    x = 14,093.37

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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.