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Finding the Fourth Proportional to 13,336.31, 20,004.50 and 4,102.31

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Solution

The fourth proportional to 13,336.31, 20,004.50 and 4,102.31 is: 6,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.31 : 20,004.50 = 4,102.31 : x
  2. Step 2: Convert to fraction form
    13,336.31/20,004.50 = 4,102.31/x
  3. Step 3: Cross multiply
    13,336.31x = 20,004.50 × 4,102.31
  4. Step 4: Simplify right side
    13,336.31x = 82,064,720.66
  5. Step 5: Solve for x
    x = 82,064,720.66/13,336.31
  6. Step 6: Final answer
    x = 6,153.48

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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.