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Finding the Fourth Proportional to 14,198.74, 19,594.47 and 8,230.86

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Solution

The fourth proportional to 14,198.74, 19,594.47 and 8,230.86 is: 11,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.74 : 19,594.47 = 8,230.86 : x
  2. Step 2: Convert to fraction form
    14,198.74/19,594.47 = 8,230.86/x
  3. Step 3: Cross multiply
    14,198.74x = 19,594.47 × 8,230.86
  4. Step 4: Simplify right side
    14,198.74x = 161,279,339.34
  5. Step 5: Solve for x
    x = 161,279,339.34/14,198.74
  6. Step 6: Final answer
    x = 11,358.71

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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.