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Finding the Fourth Proportional to 14,489.32, 19,995.78 and 8,201.80

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Solution

The fourth proportional to 14,489.32, 19,995.78 and 8,201.80 is: 11,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.32 : 19,995.78 = 8,201.80 : x
  2. Step 2: Convert to fraction form
    14,489.32/19,995.78 = 8,201.80/x
  3. Step 3: Cross multiply
    14,489.32x = 19,995.78 × 8,201.80
  4. Step 4: Simplify right side
    14,489.32x = 164,001,388.40
  5. Step 5: Solve for x
    x = 164,001,388.40/14,489.32
  6. Step 6: Final answer
    x = 11,318.78

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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.