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Finding the Fourth Proportional to 14,942.65, 20,620.69 and 8,228.14

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Solution

The fourth proportional to 14,942.65, 20,620.69 and 8,228.14 is: 11,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.65 : 20,620.69 = 8,228.14 : x
  2. Step 2: Convert to fraction form
    14,942.65/20,620.69 = 8,228.14/x
  3. Step 3: Cross multiply
    14,942.65x = 20,620.69 × 8,228.14
  4. Step 4: Simplify right side
    14,942.65x = 169,669,924.22
  5. Step 5: Solve for x
    x = 169,669,924.22/14,942.65
  6. Step 6: Final answer
    x = 11,354.74

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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.