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Finding the Fourth Proportional to 21,813.89, 32,726.23 and 7,024.46

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Solution

The fourth proportional to 21,813.89, 32,726.23 and 7,024.46 is: 10,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.89 : 32,726.23 = 7,024.46 : x
  2. Step 2: Convert to fraction form
    21,813.89/32,726.23 = 7,024.46/x
  3. Step 3: Cross multiply
    21,813.89x = 32,726.23 × 7,024.46
  4. Step 4: Simplify right side
    21,813.89x = 229,883,912.39
  5. Step 5: Solve for x
    x = 229,883,912.39/21,813.89
  6. Step 6: Final answer
    x = 10,538.42

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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.