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Finding the Fourth Proportional to 14,660.82, 20,231.46 and 8,287.65

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Solution

The fourth proportional to 14,660.82, 20,231.46 and 8,287.65 is: 11,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.82 : 20,231.46 = 8,287.65 : x
  2. Step 2: Convert to fraction form
    14,660.82/20,231.46 = 8,287.65/x
  3. Step 3: Cross multiply
    14,660.82x = 20,231.46 × 8,287.65
  4. Step 4: Simplify right side
    14,660.82x = 167,671,259.47
  5. Step 5: Solve for x
    x = 167,671,259.47/14,660.82
  6. Step 6: Final answer
    x = 11,436.69

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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.