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Finding the Fourth Proportional to 19,806.62, 29,710.83 and 8,111.63

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Solution

The fourth proportional to 19,806.62, 29,710.83 and 8,111.63 is: 12,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.62 : 29,710.83 = 8,111.63 : x
  2. Step 2: Convert to fraction form
    19,806.62/29,710.83 = 8,111.63/x
  3. Step 3: Cross multiply
    19,806.62x = 29,710.83 × 8,111.63
  4. Step 4: Simplify right side
    19,806.62x = 241,003,111.40
  5. Step 5: Solve for x
    x = 241,003,111.40/19,806.62
  6. Step 6: Final answer
    x = 12,167.81

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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.