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Finding the Fourth Proportional to 21,004.16, 31,505.28 and 6,213.44

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Solution

The fourth proportional to 21,004.16, 31,505.28 and 6,213.44 is: 9,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.16 : 31,505.28 = 6,213.44 : x
  2. Step 2: Convert to fraction form
    21,004.16/31,505.28 = 6,213.44/x
  3. Step 3: Cross multiply
    21,004.16x = 31,505.28 × 6,213.44
  4. Step 4: Simplify right side
    21,004.16x = 195,756,166.96
  5. Step 5: Solve for x
    x = 195,756,166.96/21,004.16
  6. Step 6: Final answer
    x = 9,319.88

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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.