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Finding the Fourth Proportional to 14,651.77, 20,221.28 and 8,278.68

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Solution

The fourth proportional to 14,651.77, 20,221.28 and 8,278.68 is: 11,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.77 : 20,221.28 = 8,278.68 : x
  2. Step 2: Convert to fraction form
    14,651.77/20,221.28 = 8,278.68/x
  3. Step 3: Cross multiply
    14,651.77x = 20,221.28 × 8,278.68
  4. Step 4: Simplify right side
    14,651.77x = 167,405,506.31
  5. Step 5: Solve for x
    x = 167,405,506.31/14,651.77
  6. Step 6: Final answer
    x = 11,425.62

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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.