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Finding the Fourth Proportional to 12,081.24, 16,684.79 and 8,314.13

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Solution

The fourth proportional to 12,081.24, 16,684.79 and 8,314.13 is: 11,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.24 : 16,684.79 = 8,314.13 : x
  2. Step 2: Convert to fraction form
    12,081.24/16,684.79 = 8,314.13/x
  3. Step 3: Cross multiply
    12,081.24x = 16,684.79 × 8,314.13
  4. Step 4: Simplify right side
    12,081.24x = 138,719,513.22
  5. Step 5: Solve for x
    x = 138,719,513.22/12,081.24
  6. Step 6: Final answer
    x = 11,482.22

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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.