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Finding the Fourth Proportional to 14,206.50, 19,604.97 and 7,919.28

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Solution

The fourth proportional to 14,206.50, 19,604.97 and 7,919.28 is: 10,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.50 : 19,604.97 = 7,919.28 : x
  2. Step 2: Convert to fraction form
    14,206.50/19,604.97 = 7,919.28/x
  3. Step 3: Cross multiply
    14,206.50x = 19,604.97 × 7,919.28
  4. Step 4: Simplify right side
    14,206.50x = 155,257,246.82
  5. Step 5: Solve for x
    x = 155,257,246.82/14,206.50
  6. Step 6: Final answer
    x = 10,928.61

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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.