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Finding the Fourth Proportional to 21,162.17, 31,744.82 and 7,122.13

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Solution

The fourth proportional to 21,162.17, 31,744.82 and 7,122.13 is: 10,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.17 : 31,744.82 = 7,122.13 : x
  2. Step 2: Convert to fraction form
    21,162.17/31,744.82 = 7,122.13/x
  3. Step 3: Cross multiply
    21,162.17x = 31,744.82 × 7,122.13
  4. Step 4: Simplify right side
    21,162.17x = 226,090,673.31
  5. Step 5: Solve for x
    x = 226,090,673.31/21,162.17
  6. Step 6: Final answer
    x = 10,683.72

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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.