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Finding the Fourth Proportional to 14,027.60, 19,357.50 and 7,739.96

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Solution

The fourth proportional to 14,027.60, 19,357.50 and 7,739.96 is: 10,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.60 : 19,357.50 = 7,739.96 : x
  2. Step 2: Convert to fraction form
    14,027.60/19,357.50 = 7,739.96/x
  3. Step 3: Cross multiply
    14,027.60x = 19,357.50 × 7,739.96
  4. Step 4: Simplify right side
    14,027.60x = 149,826,275.70
  5. Step 5: Solve for x
    x = 149,826,275.70/14,027.60
  6. Step 6: Final answer
    x = 10,680.82

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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.