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Finding the Fourth Proportional to 14,400.68, 19,873.63 and 8,027.70

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Solution

The fourth proportional to 14,400.68, 19,873.63 and 8,027.70 is: 11,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.68 : 19,873.63 = 8,027.70 : x
  2. Step 2: Convert to fraction form
    14,400.68/19,873.63 = 8,027.70/x
  3. Step 3: Cross multiply
    14,400.68x = 19,873.63 × 8,027.70
  4. Step 4: Simplify right side
    14,400.68x = 159,539,539.55
  5. Step 5: Solve for x
    x = 159,539,539.55/14,400.68
  6. Step 6: Final answer
    x = 11,078.61

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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.