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Finding the Fourth Proportional to 12,883.41, 19,335.71 and 5,496.21

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Solution

The fourth proportional to 12,883.41, 19,335.71 and 5,496.21 is: 8,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.41 : 19,335.71 = 5,496.21 : x
  2. Step 2: Convert to fraction form
    12,883.41/19,335.71 = 5,496.21/x
  3. Step 3: Cross multiply
    12,883.41x = 19,335.71 × 5,496.21
  4. Step 4: Simplify right side
    12,883.41x = 106,273,122.66
  5. Step 5: Solve for x
    x = 106,273,122.66/12,883.41
  6. Step 6: Final answer
    x = 8,248.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.