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Finding the Fourth Proportional to 12,131.90, 16,741.95 and 6,826.76

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Solution

The fourth proportional to 12,131.90, 16,741.95 and 6,826.76 is: 9,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.90 : 16,741.95 = 6,826.76 : x
  2. Step 2: Convert to fraction form
    12,131.90/16,741.95 = 6,826.76/x
  3. Step 3: Cross multiply
    12,131.90x = 16,741.95 × 6,826.76
  4. Step 4: Simplify right side
    12,131.90x = 114,293,190.87
  5. Step 5: Solve for x
    x = 114,293,190.87/12,131.90
  6. Step 6: Final answer
    x = 9,420.89

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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.