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Finding the Fourth Proportional to 14,416.39, 21,618.09 and 6,092.12

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Solution

The fourth proportional to 14,416.39, 21,618.09 and 6,092.12 is: 9,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.39 : 21,618.09 = 6,092.12 : x
  2. Step 2: Convert to fraction form
    14,416.39/21,618.09 = 6,092.12/x
  3. Step 3: Cross multiply
    14,416.39x = 21,618.09 × 6,092.12
  4. Step 4: Simplify right side
    14,416.39x = 131,699,913.94
  5. Step 5: Solve for x
    x = 131,699,913.94/14,416.39
  6. Step 6: Final answer
    x = 9,135.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.