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Finding the Fourth Proportional to 13,814.68, 19,071.84 and 10,286.32

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Solution

The fourth proportional to 13,814.68, 19,071.84 and 10,286.32 is: 14,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.68 : 19,071.84 = 10,286.32 : x
  2. Step 2: Convert to fraction form
    13,814.68/19,071.84 = 10,286.32/x
  3. Step 3: Cross multiply
    13,814.68x = 19,071.84 × 10,286.32
  4. Step 4: Simplify right side
    13,814.68x = 196,179,049.23
  5. Step 5: Solve for x
    x = 196,179,049.23/13,814.68
  6. Step 6: Final answer
    x = 14,200.77

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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.