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Finding the Fourth Proportional to 13,079.82, 19,608.67 and 5,678.68

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Solution

The fourth proportional to 13,079.82, 19,608.67 and 5,678.68 is: 8,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079.82 : 19,608.67 = 5,678.68 : x
  2. Step 2: Convert to fraction form
    13,079.82/19,608.67 = 5,678.68/x
  3. Step 3: Cross multiply
    13,079.82x = 19,608.67 × 5,678.68
  4. Step 4: Simplify right side
    13,079.82x = 111,351,362.16
  5. Step 5: Solve for x
    x = 111,351,362.16/13,079.82
  6. Step 6: Final answer
    x = 8,513.22

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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.