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Finding the Fourth Proportional to 12,230.74, 16,876.28 and 7,980.68

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Solution

The fourth proportional to 12,230.74, 16,876.28 and 7,980.68 is: 11,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.74 : 16,876.28 = 7,980.68 : x
  2. Step 2: Convert to fraction form
    12,230.74/16,876.28 = 7,980.68/x
  3. Step 3: Cross multiply
    12,230.74x = 16,876.28 × 7,980.68
  4. Step 4: Simplify right side
    12,230.74x = 134,684,190.27
  5. Step 5: Solve for x
    x = 134,684,190.27/12,230.74
  6. Step 6: Final answer
    x = 11,011.94

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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.