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Finding the Fourth Proportional to 19,798.14, 29,697.09 and 8,111.34

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Solution

The fourth proportional to 19,798.14, 29,697.09 and 8,111.34 is: 12,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.14 : 29,697.09 = 8,111.34 : x
  2. Step 2: Convert to fraction form
    19,798.14/29,697.09 = 8,111.34/x
  3. Step 3: Cross multiply
    19,798.14x = 29,697.09 × 8,111.34
  4. Step 4: Simplify right side
    19,798.14x = 240,883,194.00
  5. Step 5: Solve for x
    x = 240,883,194.00/19,798.14
  6. Step 6: Final answer
    x = 12,166.96

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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.