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Finding the Fourth Proportional to 12,981.92, 17,923.70 and 7,678.44

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Solution

The fourth proportional to 12,981.92, 17,923.70 and 7,678.44 is: 10,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.92 : 17,923.70 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    12,981.92/17,923.70 = 7,678.44/x
  3. Step 3: Cross multiply
    12,981.92x = 17,923.70 × 7,678.44
  4. Step 4: Simplify right side
    12,981.92x = 137,626,074.22
  5. Step 5: Solve for x
    x = 137,626,074.22/12,981.92
  6. Step 6: Final answer
    x = 10,601.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.