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Finding the Fourth Proportional to 12,131.43, 16,741.34 and 6,826.26

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Solution

The fourth proportional to 12,131.43, 16,741.34 and 6,826.26 is: 9,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.43 : 16,741.34 = 6,826.26 : x
  2. Step 2: Convert to fraction form
    12,131.43/16,741.34 = 6,826.26/x
  3. Step 3: Cross multiply
    12,131.43x = 16,741.34 × 6,826.26
  4. Step 4: Simplify right side
    12,131.43x = 114,280,705.46
  5. Step 5: Solve for x
    x = 114,280,705.46/12,131.43
  6. Step 6: Final answer
    x = 9,420.22

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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.