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Finding the Fourth Proportional to 12,766.31, 17,622.27 and 7,462.83

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Solution

The fourth proportional to 12,766.31, 17,622.27 and 7,462.83 is: 10,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.31 : 17,622.27 = 7,462.83 : x
  2. Step 2: Convert to fraction form
    12,766.31/17,622.27 = 7,462.83/x
  3. Step 3: Cross multiply
    12,766.31x = 17,622.27 × 7,462.83
  4. Step 4: Simplify right side
    12,766.31x = 131,512,005.22
  5. Step 5: Solve for x
    x = 131,512,005.22/12,766.31
  6. Step 6: Final answer
    x = 10,301.49

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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.