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Finding the Fourth Proportional to 13,442.86, 18,548.48 and 8,138.17

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Solution

The fourth proportional to 13,442.86, 18,548.48 and 8,138.17 is: 11,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.86 : 18,548.48 = 8,138.17 : x
  2. Step 2: Convert to fraction form
    13,442.86/18,548.48 = 8,138.17/x
  3. Step 3: Cross multiply
    13,442.86x = 18,548.48 × 8,138.17
  4. Step 4: Simplify right side
    13,442.86x = 150,950,657.46
  5. Step 5: Solve for x
    x = 150,950,657.46/13,442.86
  6. Step 6: Final answer
    x = 11,229.06

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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.