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Finding the Fourth Proportional to 13,173.30, 19,721.19 and 8,227.95

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Solution

The fourth proportional to 13,173.30, 19,721.19 and 8,227.95 is: 12,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.30 : 19,721.19 = 8,227.95 : x
  2. Step 2: Convert to fraction form
    13,173.30/19,721.19 = 8,227.95/x
  3. Step 3: Cross multiply
    13,173.30x = 19,721.19 × 8,227.95
  4. Step 4: Simplify right side
    13,173.30x = 162,264,965.26
  5. Step 5: Solve for x
    x = 162,264,965.26/13,173.30
  6. Step 6: Final answer
    x = 12,317.72

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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.