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Finding the Fourth Proportional to 13,311.34, 18,367.63 and 7,646.34

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Solution

The fourth proportional to 13,311.34, 18,367.63 and 7,646.34 is: 10,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.34 : 18,367.63 = 7,646.34 : x
  2. Step 2: Convert to fraction form
    13,311.34/18,367.63 = 7,646.34/x
  3. Step 3: Cross multiply
    13,311.34x = 18,367.63 × 7,646.34
  4. Step 4: Simplify right side
    13,311.34x = 140,445,143.97
  5. Step 5: Solve for x
    x = 140,445,143.97/13,311.34
  6. Step 6: Final answer
    x = 10,550.79

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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.