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Finding the Fourth Proportional to 23,658.31, 32,647.37 and 13,579.66

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Solution

The fourth proportional to 23,658.31, 32,647.37 and 13,579.66 is: 18,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.31 : 32,647.37 = 13,579.66 : x
  2. Step 2: Convert to fraction form
    23,658.31/32,647.37 = 13,579.66/x
  3. Step 3: Cross multiply
    23,658.31x = 32,647.37 × 13,579.66
  4. Step 4: Simplify right side
    23,658.31x = 443,340,116.60
  5. Step 5: Solve for x
    x = 443,340,116.60/23,658.31
  6. Step 6: Final answer
    x = 18,739.30

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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.