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Finding the Fourth Proportional to 14,027.32, 19,357.66 and 7,739.70

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Solution

The fourth proportional to 14,027.32, 19,357.66 and 7,739.70 is: 10,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.32 : 19,357.66 = 7,739.70 : x
  2. Step 2: Convert to fraction form
    14,027.32/19,357.66 = 7,739.70/x
  3. Step 3: Cross multiply
    14,027.32x = 19,357.66 × 7,739.70
  4. Step 4: Simplify right side
    14,027.32x = 149,822,481.10
  5. Step 5: Solve for x
    x = 149,822,481.10/14,027.32
  6. Step 6: Final answer
    x = 10,680.76

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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.