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Finding the Fourth Proportional to 12,660.84, 18,976.77 and 7,719.50

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Solution

The fourth proportional to 12,660.84, 18,976.77 and 7,719.50 is: 11,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.84 : 18,976.77 = 7,719.50 : x
  2. Step 2: Convert to fraction form
    12,660.84/18,976.77 = 7,719.50/x
  3. Step 3: Cross multiply
    12,660.84x = 18,976.77 × 7,719.50
  4. Step 4: Simplify right side
    12,660.84x = 146,491,081.13
  5. Step 5: Solve for x
    x = 146,491,081.13/12,660.84
  6. Step 6: Final answer
    x = 11,570.41

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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.