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Finding the Fourth Proportional to 13,961.32, 19,265.61 and 8,295.82

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Solution

The fourth proportional to 13,961.32, 19,265.61 and 8,295.82 is: 11,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.32 : 19,265.61 = 8,295.82 : x
  2. Step 2: Convert to fraction form
    13,961.32/19,265.61 = 8,295.82/x
  3. Step 3: Cross multiply
    13,961.32x = 19,265.61 × 8,295.82
  4. Step 4: Simplify right side
    13,961.32x = 159,824,032.75
  5. Step 5: Solve for x
    x = 159,824,032.75/13,961.32
  6. Step 6: Final answer
    x = 11,447.63

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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.