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Finding the Fourth Proportional to 13,600.12, 18,768.66 and 8,291.20

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Solution

The fourth proportional to 13,600.12, 18,768.66 and 8,291.20 is: 11,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.12 : 18,768.66 = 8,291.20 : x
  2. Step 2: Convert to fraction form
    13,600.12/18,768.66 = 8,291.20/x
  3. Step 3: Cross multiply
    13,600.12x = 18,768.66 × 8,291.20
  4. Step 4: Simplify right side
    13,600.12x = 155,614,713.79
  5. Step 5: Solve for x
    x = 155,614,713.79/13,600.12
  6. Step 6: Final answer
    x = 11,442.16

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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.