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Finding the Fourth Proportional to 13,217.95, 19,814.78 and 5,716.82

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Solution

The fourth proportional to 13,217.95, 19,814.78 and 5,716.82 is: 8,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.95 : 19,814.78 = 5,716.82 : x
  2. Step 2: Convert to fraction form
    13,217.95/19,814.78 = 5,716.82/x
  3. Step 3: Cross multiply
    13,217.95x = 19,814.78 × 5,716.82
  4. Step 4: Simplify right side
    13,217.95x = 113,277,431.53
  5. Step 5: Solve for x
    x = 113,277,431.53/13,217.95
  6. Step 6: Final answer
    x = 8,569.97

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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.