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Finding the Fourth Proportional to 12,826.12, 17,700.34 and 8,046.26

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Solution

The fourth proportional to 12,826.12, 17,700.34 and 8,046.26 is: 11,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.12 : 17,700.34 = 8,046.26 : x
  2. Step 2: Convert to fraction form
    12,826.12/17,700.34 = 8,046.26/x
  3. Step 3: Cross multiply
    12,826.12x = 17,700.34 × 8,046.26
  4. Step 4: Simplify right side
    12,826.12x = 142,421,537.73
  5. Step 5: Solve for x
    x = 142,421,537.73/12,826.12
  6. Step 6: Final answer
    x = 11,104.02

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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.