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Finding the Fourth Proportional to 14,400.26, 19,872.45 and 8,027.26

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Solution

The fourth proportional to 14,400.26, 19,872.45 and 8,027.26 is: 11,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.26 : 19,872.45 = 8,027.26 : x
  2. Step 2: Convert to fraction form
    14,400.26/19,872.45 = 8,027.26/x
  3. Step 3: Cross multiply
    14,400.26x = 19,872.45 × 8,027.26
  4. Step 4: Simplify right side
    14,400.26x = 159,521,273.31
  5. Step 5: Solve for x
    x = 159,521,273.31/14,400.26
  6. Step 6: Final answer
    x = 11,077.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.