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Finding the Fourth Proportional to 14,474.66, 19,975.20 and 8,101.64

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Solution

The fourth proportional to 14,474.66, 19,975.20 and 8,101.64 is: 11,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.66 : 19,975.20 = 8,101.64 : x
  2. Step 2: Convert to fraction form
    14,474.66/19,975.20 = 8,101.64/x
  3. Step 3: Cross multiply
    14,474.66x = 19,975.20 × 8,101.64
  4. Step 4: Simplify right side
    14,474.66x = 161,831,879.33
  5. Step 5: Solve for x
    x = 161,831,879.33/14,474.66
  6. Step 6: Final answer
    x = 11,180.36

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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.