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Finding the Fourth Proportional to 12,131.85, 16,741.86 and 6,826.53

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Solution

The fourth proportional to 12,131.85, 16,741.86 and 6,826.53 is: 9,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.85 : 16,741.86 = 6,826.53 : x
  2. Step 2: Convert to fraction form
    12,131.85/16,741.86 = 6,826.53/x
  3. Step 3: Cross multiply
    12,131.85x = 16,741.86 × 6,826.53
  4. Step 4: Simplify right side
    12,131.85x = 114,288,809.55
  5. Step 5: Solve for x
    x = 114,288,809.55/12,131.85
  6. Step 6: Final answer
    x = 9,420.56

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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.