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Finding the Fourth Proportional to 19,983.38, 29,978.72 and 8,297.51

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Solution

The fourth proportional to 19,983.38, 29,978.72 and 8,297.51 is: 12,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.38 : 29,978.72 = 8,297.51 : x
  2. Step 2: Convert to fraction form
    19,983.38/29,978.72 = 8,297.51/x
  3. Step 3: Cross multiply
    19,983.38x = 29,978.72 × 8,297.51
  4. Step 4: Simplify right side
    19,983.38x = 248,748,687.50
  5. Step 5: Solve for x
    x = 248,748,687.50/19,983.38
  6. Step 6: Final answer
    x = 12,447.78

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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.