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Finding the Fourth Proportional to 14,306.92, 19,738.83 and 8,639.52

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Solution

The fourth proportional to 14,306.92, 19,738.83 and 8,639.52 is: 11,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.92 : 19,738.83 = 8,639.52 : x
  2. Step 2: Convert to fraction form
    14,306.92/19,738.83 = 8,639.52/x
  3. Step 3: Cross multiply
    14,306.92x = 19,738.83 × 8,639.52
  4. Step 4: Simplify right side
    14,306.92x = 170,534,016.56
  5. Step 5: Solve for x
    x = 170,534,016.56/14,306.92
  6. Step 6: Final answer
    x = 11,919.69

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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.