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Finding the Fourth Proportional to 21,214.85, 31,822.44 and 6,424.92

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Solution

The fourth proportional to 21,214.85, 31,822.44 and 6,424.92 is: 9,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.85 : 31,822.44 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    21,214.85/31,822.44 = 6,424.92/x
  3. Step 3: Cross multiply
    21,214.85x = 31,822.44 × 6,424.92
  4. Step 4: Simplify right side
    21,214.85x = 204,456,607.11
  5. Step 5: Solve for x
    x = 204,456,607.11/21,214.85
  6. Step 6: Final answer
    x = 9,637.43

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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.