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Finding the Fourth Proportional to 13,902, 19,186.62 and 8,236.30

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Solution

The fourth proportional to 13,902, 19,186.62 and 8,236.30 is: 11,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902 : 19,186.62 = 8,236.30 : x
  2. Step 2: Convert to fraction form
    13,902/19,186.62 = 8,236.30/x
  3. Step 3: Cross multiply
    13,902x = 19,186.62 × 8,236.30
  4. Step 4: Simplify right side
    13,902x = 158,026,758.31
  5. Step 5: Solve for x
    x = 158,026,758.31/13,902
  6. Step 6: Final answer
    x = 11,367.20

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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.