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Finding the Fourth Proportional to 12,920.96, 19,377.24 and 7,983.20

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Solution

The fourth proportional to 12,920.96, 19,377.24 and 7,983.20 is: 11,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.96 : 19,377.24 = 7,983.20 : x
  2. Step 2: Convert to fraction form
    12,920.96/19,377.24 = 7,983.20/x
  3. Step 3: Cross multiply
    12,920.96x = 19,377.24 × 7,983.20
  4. Step 4: Simplify right side
    12,920.96x = 154,692,382.37
  5. Step 5: Solve for x
    x = 154,692,382.37/12,920.96
  6. Step 6: Final answer
    x = 11,972.21

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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.