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Finding the Fourth Proportional to 14,027.50, 19,358.22 and 7,739.74

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Solution

The fourth proportional to 14,027.50, 19,358.22 and 7,739.74 is: 10,680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.50 : 19,358.22 = 7,739.74 : x
  2. Step 2: Convert to fraction form
    14,027.50/19,358.22 = 7,739.74/x
  3. Step 3: Cross multiply
    14,027.50x = 19,358.22 × 7,739.74
  4. Step 4: Simplify right side
    14,027.50x = 149,827,589.66
  5. Step 5: Solve for x
    x = 149,827,589.66/14,027.50
  6. Step 6: Final answer
    x = 10,680.99

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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.