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Finding the Fourth Proportional to 19,734.66, 29,602.22 and 5,694.96

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Solution

The fourth proportional to 19,734.66, 29,602.22 and 5,694.96 is: 8,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.66 : 29,602.22 = 5,694.96 : x
  2. Step 2: Convert to fraction form
    19,734.66/29,602.22 = 5,694.96/x
  3. Step 3: Cross multiply
    19,734.66x = 29,602.22 × 5,694.96
  4. Step 4: Simplify right side
    19,734.66x = 168,583,458.81
  5. Step 5: Solve for x
    x = 168,583,458.81/19,734.66
  6. Step 6: Final answer
    x = 8,542.51

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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.