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Finding the Fourth Proportional to 21,631.29, 32,446.75 and 6,840.22

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Solution

The fourth proportional to 21,631.29, 32,446.75 and 6,840.22 is: 10,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631.29 : 32,446.75 = 6,840.22 : x
  2. Step 2: Convert to fraction form
    21,631.29/32,446.75 = 6,840.22/x
  3. Step 3: Cross multiply
    21,631.29x = 32,446.75 × 6,840.22
  4. Step 4: Simplify right side
    21,631.29x = 221,942,908.29
  5. Step 5: Solve for x
    x = 221,942,908.29/21,631.29
  6. Step 6: Final answer
    x = 10,260.27

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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.