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Finding the Fourth Proportional to 14,616.78, 20,170.98 and 8,329.11

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Solution

The fourth proportional to 14,616.78, 20,170.98 and 8,329.11 is: 11,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.78 : 20,170.98 = 8,329.11 : x
  2. Step 2: Convert to fraction form
    14,616.78/20,170.98 = 8,329.11/x
  3. Step 3: Cross multiply
    14,616.78x = 20,170.98 × 8,329.11
  4. Step 4: Simplify right side
    14,616.78x = 168,006,311.23
  5. Step 5: Solve for x
    x = 168,006,311.23/14,616.78
  6. Step 6: Final answer
    x = 11,494.07

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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.