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Finding the Fourth Proportional to 21,342.72, 32,014.08 and 5,761.56

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Solution

The fourth proportional to 21,342.72, 32,014.08 and 5,761.56 is: 8,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.72 : 32,014.08 = 5,761.56 : x
  2. Step 2: Convert to fraction form
    21,342.72/32,014.08 = 5,761.56/x
  3. Step 3: Cross multiply
    21,342.72x = 32,014.08 × 5,761.56
  4. Step 4: Simplify right side
    21,342.72x = 184,451,042.76
  5. Step 5: Solve for x
    x = 184,451,042.76/21,342.72
  6. Step 6: Final answer
    x = 8,642.34

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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.