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Finding the Fourth Proportional to 12,131.80, 16,740.69 and 6,826.50

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Solution

The fourth proportional to 12,131.80, 16,740.69 and 6,826.50 is: 9,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.80 : 16,740.69 = 6,826.50 : x
  2. Step 2: Convert to fraction form
    12,131.80/16,740.69 = 6,826.50/x
  3. Step 3: Cross multiply
    12,131.80x = 16,740.69 × 6,826.50
  4. Step 4: Simplify right side
    12,131.80x = 114,280,320.29
  5. Step 5: Solve for x
    x = 114,280,320.29/12,131.80
  6. Step 6: Final answer
    x = 9,419.90

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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.