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Finding the Fourth Proportional to 13,216.57, 19,827.79 and 3,856.82

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Solution

The fourth proportional to 13,216.57, 19,827.79 and 3,856.82 is: 5,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.57 : 19,827.79 = 3,856.82 : x
  2. Step 2: Convert to fraction form
    13,216.57/19,827.79 = 3,856.82/x
  3. Step 3: Cross multiply
    13,216.57x = 19,827.79 × 3,856.82
  4. Step 4: Simplify right side
    13,216.57x = 76,472,108.25
  5. Step 5: Solve for x
    x = 76,472,108.25/13,216.57
  6. Step 6: Final answer
    x = 5,786.08

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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.