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Finding the Fourth Proportional to 14,400.19, 19,873.72 and 8,027.83

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Solution

The fourth proportional to 14,400.19, 19,873.72 and 8,027.83 is: 11,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.19 : 19,873.72 = 8,027.83 : x
  2. Step 2: Convert to fraction form
    14,400.19/19,873.72 = 8,027.83/x
  3. Step 3: Cross multiply
    14,400.19x = 19,873.72 × 8,027.83
  4. Step 4: Simplify right side
    14,400.19x = 159,542,845.63
  5. Step 5: Solve for x
    x = 159,542,845.63/14,400.19
  6. Step 6: Final answer
    x = 11,079.22

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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.