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Finding the Fourth Proportional to 12,785.25, 17,643.92 and 7,196.25

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Solution

The fourth proportional to 12,785.25, 17,643.92 and 7,196.25 is: 9,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.25 : 17,643.92 = 7,196.25 : x
  2. Step 2: Convert to fraction form
    12,785.25/17,643.92 = 7,196.25/x
  3. Step 3: Cross multiply
    12,785.25x = 17,643.92 × 7,196.25
  4. Step 4: Simplify right side
    12,785.25x = 126,970,023.32
  5. Step 5: Solve for x
    x = 126,970,023.32/12,785.25
  6. Step 6: Final answer
    x = 9,930.98

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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.