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Finding the Fourth Proportional to 21,840.12, 32,765.31 and 6,257.34

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Solution

The fourth proportional to 21,840.12, 32,765.31 and 6,257.34 is: 9,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.12 : 32,765.31 = 6,257.34 : x
  2. Step 2: Convert to fraction form
    21,840.12/32,765.31 = 6,257.34/x
  3. Step 3: Cross multiply
    21,840.12x = 32,765.31 × 6,257.34
  4. Step 4: Simplify right side
    21,840.12x = 205,023,684.88
  5. Step 5: Solve for x
    x = 205,023,684.88/21,840.12
  6. Step 6: Final answer
    x = 9,387.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.