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Finding the Fourth Proportional to 21,117.96, 31,672.26 and 6,324.93

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Solution

The fourth proportional to 21,117.96, 31,672.26 and 6,324.93 is: 9,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.96 : 31,672.26 = 6,324.93 : x
  2. Step 2: Convert to fraction form
    21,117.96/31,672.26 = 6,324.93/x
  3. Step 3: Cross multiply
    21,117.96x = 31,672.26 × 6,324.93
  4. Step 4: Simplify right side
    21,117.96x = 200,324,827.44
  5. Step 5: Solve for x
    x = 200,324,827.44/21,117.96
  6. Step 6: Final answer
    x = 9,485.99

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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.