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Finding the Fourth Proportional to 14,208.13, 19,604.92 and 8,238.64

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Solution

The fourth proportional to 14,208.13, 19,604.92 and 8,238.64 is: 11,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.13 : 19,604.92 = 8,238.64 : x
  2. Step 2: Convert to fraction form
    14,208.13/19,604.92 = 8,238.64/x
  3. Step 3: Cross multiply
    14,208.13x = 19,604.92 × 8,238.64
  4. Step 4: Simplify right side
    14,208.13x = 161,517,878.11
  5. Step 5: Solve for x
    x = 161,517,878.11/14,208.13
  6. Step 6: Final answer
    x = 11,367.99

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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.