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Finding the Fourth Proportional to 13,906, 19,190.28 and 8,318.32

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Solution

The fourth proportional to 13,906, 19,190.28 and 8,318.32 is: 11,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 19,190.28 = 8,318.32 : x
  2. Step 2: Convert to fraction form
    13,906/19,190.28 = 8,318.32/x
  3. Step 3: Cross multiply
    13,906x = 19,190.28 × 8,318.32
  4. Step 4: Simplify right side
    13,906x = 159,630,889.93
  5. Step 5: Solve for x
    x = 159,630,889.93/13,906
  6. Step 6: Final answer
    x = 11,479.28

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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.