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Finding the Fourth Proportional to 21,222.95, 31,834.31 and 5,427.96

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Solution

The fourth proportional to 21,222.95, 31,834.31 and 5,427.96 is: 8,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.95 : 31,834.31 = 5,427.96 : x
  2. Step 2: Convert to fraction form
    21,222.95/31,834.31 = 5,427.96/x
  3. Step 3: Cross multiply
    21,222.95x = 31,834.31 × 5,427.96
  4. Step 4: Simplify right side
    21,222.95x = 172,795,325.37
  5. Step 5: Solve for x
    x = 172,795,325.37/21,222.95
  6. Step 6: Final answer
    x = 8,141.91

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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.