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Finding the Fourth Proportional to 13,864.36, 19,134.36 and 8,200.84

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Solution

The fourth proportional to 13,864.36, 19,134.36 and 8,200.84 is: 11,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.36 : 19,134.36 = 8,200.84 : x
  2. Step 2: Convert to fraction form
    13,864.36/19,134.36 = 8,200.84/x
  3. Step 3: Cross multiply
    13,864.36x = 19,134.36 × 8,200.84
  4. Step 4: Simplify right side
    13,864.36x = 156,917,824.86
  5. Step 5: Solve for x
    x = 156,917,824.86/13,864.36
  6. Step 6: Final answer
    x = 11,318.07

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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.