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Finding the Fourth Proportional to 12,191.36, 18,261.52 and 7,786.40

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Solution

The fourth proportional to 12,191.36, 18,261.52 and 7,786.40 is: 11,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.36 : 18,261.52 = 7,786.40 : x
  2. Step 2: Convert to fraction form
    12,191.36/18,261.52 = 7,786.40/x
  3. Step 3: Cross multiply
    12,191.36x = 18,261.52 × 7,786.40
  4. Step 4: Simplify right side
    12,191.36x = 142,191,388.55
  5. Step 5: Solve for x
    x = 142,191,388.55/12,191.36
  6. Step 6: Final answer
    x = 11,663.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.