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Finding the Fourth Proportional to 12,119.14, 16,724.55 and 6,814.09

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Solution

The fourth proportional to 12,119.14, 16,724.55 and 6,814.09 is: 9,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.14 : 16,724.55 = 6,814.09 : x
  2. Step 2: Convert to fraction form
    12,119.14/16,724.55 = 6,814.09/x
  3. Step 3: Cross multiply
    12,119.14x = 16,724.55 × 6,814.09
  4. Step 4: Simplify right side
    12,119.14x = 113,962,588.91
  5. Step 5: Solve for x
    x = 113,962,588.91/12,119.14
  6. Step 6: Final answer
    x = 9,403.52

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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.