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Finding the Fourth Proportional to 21,335.36, 32,003.76 and 6,542.96

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Solution

The fourth proportional to 21,335.36, 32,003.76 and 6,542.96 is: 9,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.36 : 32,003.76 = 6,542.96 : x
  2. Step 2: Convert to fraction form
    21,335.36/32,003.76 = 6,542.96/x
  3. Step 3: Cross multiply
    21,335.36x = 32,003.76 × 6,542.96
  4. Step 4: Simplify right side
    21,335.36x = 209,399,321.53
  5. Step 5: Solve for x
    x = 209,399,321.53/21,335.36
  6. Step 6: Final answer
    x = 9,814.66

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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.