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Finding the Fourth Proportional to 14,651.19, 20,217.69 and 8,278.83

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Solution

The fourth proportional to 14,651.19, 20,217.69 and 8,278.83 is: 11,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.19 : 20,217.69 = 8,278.83 : x
  2. Step 2: Convert to fraction form
    14,651.19/20,217.69 = 8,278.83/x
  3. Step 3: Cross multiply
    14,651.19x = 20,217.69 × 8,278.83
  4. Step 4: Simplify right side
    14,651.19x = 167,378,818.50
  5. Step 5: Solve for x
    x = 167,378,818.50/14,651.19
  6. Step 6: Final answer
    x = 11,424.25

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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.