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Finding the Fourth Proportional to 13,222.82, 19,805.06 and 8,017.76

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Solution

The fourth proportional to 13,222.82, 19,805.06 and 8,017.76 is: 12,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.82 : 19,805.06 = 8,017.76 : x
  2. Step 2: Convert to fraction form
    13,222.82/19,805.06 = 8,017.76/x
  3. Step 3: Cross multiply
    13,222.82x = 19,805.06 × 8,017.76
  4. Step 4: Simplify right side
    13,222.82x = 158,792,217.87
  5. Step 5: Solve for x
    x = 158,792,217.87/13,222.82
  6. Step 6: Final answer
    x = 12,008.95

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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.