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Finding the Fourth Proportional to 12,785.13, 17,643.48 and 7,196.13

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Solution

The fourth proportional to 12,785.13, 17,643.48 and 7,196.13 is: 9,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.13 : 17,643.48 = 7,196.13 : x
  2. Step 2: Convert to fraction form
    12,785.13/17,643.48 = 7,196.13/x
  3. Step 3: Cross multiply
    12,785.13x = 17,643.48 × 7,196.13
  4. Step 4: Simplify right side
    12,785.13x = 126,964,775.73
  5. Step 5: Solve for x
    x = 126,964,775.73/12,785.13
  6. Step 6: Final answer
    x = 9,930.66

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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.