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Finding the Fourth Proportional to 12,415.20, 17,131.92 and 6,826.40

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Solution

The fourth proportional to 12,415.20, 17,131.92 and 6,826.40 is: 9,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.20 : 17,131.92 = 6,826.40 : x
  2. Step 2: Convert to fraction form
    12,415.20/17,131.92 = 6,826.40/x
  3. Step 3: Cross multiply
    12,415.20x = 17,131.92 × 6,826.40
  4. Step 4: Simplify right side
    12,415.20x = 116,949,338.69
  5. Step 5: Solve for x
    x = 116,949,338.69/12,415.20
  6. Step 6: Final answer
    x = 9,419.85

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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.