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Finding the Fourth Proportional to 21,004.38, 31,512.72 and 6,213.69

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Solution

The fourth proportional to 21,004.38, 31,512.72 and 6,213.69 is: 9,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.38 : 31,512.72 = 6,213.69 : x
  2. Step 2: Convert to fraction form
    21,004.38/31,512.72 = 6,213.69/x
  3. Step 3: Cross multiply
    21,004.38x = 31,512.72 × 6,213.69
  4. Step 4: Simplify right side
    21,004.38x = 195,810,242.07
  5. Step 5: Solve for x
    x = 195,810,242.07/21,004.38
  6. Step 6: Final answer
    x = 9,322.35

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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.