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Finding the Fourth Proportional to 19,806.96, 29,693.52 and 7,324.66

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Solution

The fourth proportional to 19,806.96, 29,693.52 and 7,324.66 is: 10,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.96 : 29,693.52 = 7,324.66 : x
  2. Step 2: Convert to fraction form
    19,806.96/29,693.52 = 7,324.66/x
  3. Step 3: Cross multiply
    19,806.96x = 29,693.52 × 7,324.66
  4. Step 4: Simplify right side
    19,806.96x = 217,494,975.32
  5. Step 5: Solve for x
    x = 217,494,975.32/19,806.96
  6. Step 6: Final answer
    x = 10,980.73

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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.