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Finding the Fourth Proportional to 12,664.80, 17,458.22 and 8,408.34

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Solution

The fourth proportional to 12,664.80, 17,458.22 and 8,408.34 is: 11,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.80 : 17,458.22 = 8,408.34 : x
  2. Step 2: Convert to fraction form
    12,664.80/17,458.22 = 8,408.34/x
  3. Step 3: Cross multiply
    12,664.80x = 17,458.22 × 8,408.34
  4. Step 4: Simplify right side
    12,664.80x = 146,794,670.58
  5. Step 5: Solve for x
    x = 146,794,670.58/12,664.80
  6. Step 6: Final answer
    x = 11,590.76

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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.