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Finding the Fourth Proportional to 12,983.83, 19,493.04 and 8,781.20

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Solution

The fourth proportional to 12,983.83, 19,493.04 and 8,781.20 is: 13,183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.83 : 19,493.04 = 8,781.20 : x
  2. Step 2: Convert to fraction form
    12,983.83/19,493.04 = 8,781.20/x
  3. Step 3: Cross multiply
    12,983.83x = 19,493.04 × 8,781.20
  4. Step 4: Simplify right side
    12,983.83x = 171,172,141.48
  5. Step 5: Solve for x
    x = 171,172,141.48/12,983.83
  6. Step 6: Final answer
    x = 13,183.49

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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.