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Finding the Fourth Proportional to 19,874.36, 29,807.90 and 8,027.51

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Solution

The fourth proportional to 19,874.36, 29,807.90 and 8,027.51 is: 12,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.36 : 29,807.90 = 8,027.51 : x
  2. Step 2: Convert to fraction form
    19,874.36/29,807.90 = 8,027.51/x
  3. Step 3: Cross multiply
    19,874.36x = 29,807.90 × 8,027.51
  4. Step 4: Simplify right side
    19,874.36x = 239,283,056.26
  5. Step 5: Solve for x
    x = 239,283,056.26/19,874.36
  6. Step 6: Final answer
    x = 12,039.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.