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Finding the Fourth Proportional to 14,633.84, 20,194.63 and 7,919.47

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Solution

The fourth proportional to 14,633.84, 20,194.63 and 7,919.47 is: 10,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.84 : 20,194.63 = 7,919.47 : x
  2. Step 2: Convert to fraction form
    14,633.84/20,194.63 = 7,919.47/x
  3. Step 3: Cross multiply
    14,633.84x = 20,194.63 × 7,919.47
  4. Step 4: Simplify right side
    14,633.84x = 159,930,816.44
  5. Step 5: Solve for x
    x = 159,930,816.44/14,633.84
  6. Step 6: Final answer
    x = 10,928.84

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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.