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Finding the Fourth Proportional to 21,013.84, 31,520.62 and 6,222.84

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Solution

The fourth proportional to 21,013.84, 31,520.62 and 6,222.84 is: 9,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.84 : 31,520.62 = 6,222.84 : x
  2. Step 2: Convert to fraction form
    21,013.84/31,520.62 = 6,222.84/x
  3. Step 3: Cross multiply
    21,013.84x = 31,520.62 × 6,222.84
  4. Step 4: Simplify right side
    21,013.84x = 196,147,774.96
  5. Step 5: Solve for x
    x = 196,147,774.96/21,013.84
  6. Step 6: Final answer
    x = 9,334.22

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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.