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Finding the Fourth Proportional to 12,111.42, 16,713.24 and 6,806.13

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Solution

The fourth proportional to 12,111.42, 16,713.24 and 6,806.13 is: 9,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.42 : 16,713.24 = 6,806.13 : x
  2. Step 2: Convert to fraction form
    12,111.42/16,713.24 = 6,806.13/x
  3. Step 3: Cross multiply
    12,111.42x = 16,713.24 × 6,806.13
  4. Step 4: Simplify right side
    12,111.42x = 113,752,395.96
  5. Step 5: Solve for x
    x = 113,752,395.96/12,111.42
  6. Step 6: Final answer
    x = 9,392.16

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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.