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Finding the Fourth Proportional to 19,806.12, 29,707.72 and 7,320.32

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Solution

The fourth proportional to 19,806.12, 29,707.72 and 7,320.32 is: 10,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.12 : 29,707.72 = 7,320.32 : x
  2. Step 2: Convert to fraction form
    19,806.12/29,707.72 = 7,320.32/x
  3. Step 3: Cross multiply
    19,806.12x = 29,707.72 × 7,320.32
  4. Step 4: Simplify right side
    19,806.12x = 217,469,850.03
  5. Step 5: Solve for x
    x = 217,469,850.03/19,806.12
  6. Step 6: Final answer
    x = 10,979.93

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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.