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Finding the Fourth Proportional to 13,666.40, 18,864.34 and 8,002.96

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Solution

The fourth proportional to 13,666.40, 18,864.34 and 8,002.96 is: 11,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.40 : 18,864.34 = 8,002.96 : x
  2. Step 2: Convert to fraction form
    13,666.40/18,864.34 = 8,002.96/x
  3. Step 3: Cross multiply
    13,666.40x = 18,864.34 × 8,002.96
  4. Step 4: Simplify right side
    13,666.40x = 150,970,558.45
  5. Step 5: Solve for x
    x = 150,970,558.45/13,666.40
  6. Step 6: Final answer
    x = 11,046.84

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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.