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Finding the Fourth Proportional to 14,517.84, 20,034.62 and 8,230.21

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Solution

The fourth proportional to 14,517.84, 20,034.62 and 8,230.21 is: 11,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.84 : 20,034.62 = 8,230.21 : x
  2. Step 2: Convert to fraction form
    14,517.84/20,034.62 = 8,230.21/x
  3. Step 3: Cross multiply
    14,517.84x = 20,034.62 × 8,230.21
  4. Step 4: Simplify right side
    14,517.84x = 164,889,129.87
  5. Step 5: Solve for x
    x = 164,889,129.87/14,517.84
  6. Step 6: Final answer
    x = 11,357.69

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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.