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Finding the Fourth Proportional to 21,214, 31,821.78 and 6,424.12

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Solution

The fourth proportional to 21,214, 31,821.78 and 6,424.12 is: 9,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 31,821.78 = 6,424.12 : x
  2. Step 2: Convert to fraction form
    21,214/31,821.78 = 6,424.12/x
  3. Step 3: Cross multiply
    21,214x = 31,821.78 × 6,424.12
  4. Step 4: Simplify right side
    21,214x = 204,426,933.33
  5. Step 5: Solve for x
    x = 204,426,933.33/21,214
  6. Step 6: Final answer
    x = 9,636.42

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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.