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Finding the Fourth Proportional to 21,015.84, 31,523.62 and 6,224.84

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Solution

The fourth proportional to 21,015.84, 31,523.62 and 6,224.84 is: 9,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.84 : 31,523.62 = 6,224.84 : x
  2. Step 2: Convert to fraction form
    21,015.84/31,523.62 = 6,224.84/x
  3. Step 3: Cross multiply
    21,015.84x = 31,523.62 × 6,224.84
  4. Step 4: Simplify right side
    21,015.84x = 196,229,490.72
  5. Step 5: Solve for x
    x = 196,229,490.72/21,015.84
  6. Step 6: Final answer
    x = 9,337.22

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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.