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Finding the Fourth Proportional to 14,489.36, 19,995.12 and 8,201.76

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Solution

The fourth proportional to 14,489.36, 19,995.12 and 8,201.76 is: 11,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.36 : 19,995.12 = 8,201.76 : x
  2. Step 2: Convert to fraction form
    14,489.36/19,995.12 = 8,201.76/x
  3. Step 3: Cross multiply
    14,489.36x = 19,995.12 × 8,201.76
  4. Step 4: Simplify right side
    14,489.36x = 163,995,175.41
  5. Step 5: Solve for x
    x = 163,995,175.41/14,489.36
  6. Step 6: Final answer
    x = 11,318.32

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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.