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Finding the Fourth Proportional to 21,004.56, 31,506.85 and 5,422.19

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Solution

The fourth proportional to 21,004.56, 31,506.85 and 5,422.19 is: 8,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.56 : 31,506.85 = 5,422.19 : x
  2. Step 2: Convert to fraction form
    21,004.56/31,506.85 = 5,422.19/x
  3. Step 3: Cross multiply
    21,004.56x = 31,506.85 × 5,422.19
  4. Step 4: Simplify right side
    21,004.56x = 170,836,021.12
  5. Step 5: Solve for x
    x = 170,836,021.12/21,004.56
  6. Step 6: Final answer
    x = 8,133.28

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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.