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Finding the Fourth Proportional to 12,785.22, 17,644.41 and 7,196.58

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Solution

The fourth proportional to 12,785.22, 17,644.41 and 7,196.58 is: 9,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.22 : 17,644.41 = 7,196.58 : x
  2. Step 2: Convert to fraction form
    12,785.22/17,644.41 = 7,196.58/x
  3. Step 3: Cross multiply
    12,785.22x = 17,644.41 × 7,196.58
  4. Step 4: Simplify right side
    12,785.22x = 126,979,408.12
  5. Step 5: Solve for x
    x = 126,979,408.12/12,785.22
  6. Step 6: Final answer
    x = 9,931.73

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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.