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Finding the Fourth Proportional to 13,638.78, 18,811.44 and 8,329.23

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Solution

The fourth proportional to 13,638.78, 18,811.44 and 8,329.23 is: 11,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.78 : 18,811.44 = 8,329.23 : x
  2. Step 2: Convert to fraction form
    13,638.78/18,811.44 = 8,329.23/x
  3. Step 3: Cross multiply
    13,638.78x = 18,811.44 × 8,329.23
  4. Step 4: Simplify right side
    13,638.78x = 156,684,810.39
  5. Step 5: Solve for x
    x = 156,684,810.39/13,638.78
  6. Step 6: Final answer
    x = 11,488.18

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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.