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Finding the Fourth Proportional to 19,804.14, 29,717.15 and 8,114.63

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Solution

The fourth proportional to 19,804.14, 29,717.15 and 8,114.63 is: 12,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.14 : 29,717.15 = 8,114.63 : x
  2. Step 2: Convert to fraction form
    19,804.14/29,717.15 = 8,114.63/x
  3. Step 3: Cross multiply
    19,804.14x = 29,717.15 × 8,114.63
  4. Step 4: Simplify right side
    19,804.14x = 241,143,487.75
  5. Step 5: Solve for x
    x = 241,143,487.75/19,804.14
  6. Step 6: Final answer
    x = 12,176.42

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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.