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Finding the Fourth Proportional to 19,670.12, 29,511.66 and 7,193.96

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Solution

The fourth proportional to 19,670.12, 29,511.66 and 7,193.96 is: 10,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.12 : 29,511.66 = 7,193.96 : x
  2. Step 2: Convert to fraction form
    19,670.12/29,511.66 = 7,193.96/x
  3. Step 3: Cross multiply
    19,670.12x = 29,511.66 × 7,193.96
  4. Step 4: Simplify right side
    19,670.12x = 212,305,701.57
  5. Step 5: Solve for x
    x = 212,305,701.57/19,670.12
  6. Step 6: Final answer
    x = 10,793.31

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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.