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Finding the Fourth Proportional to 13,333.26, 19,999.90 and 4,099.26

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Solution

The fourth proportional to 13,333.26, 19,999.90 and 4,099.26 is: 6,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.26 : 19,999.90 = 4,099.26 : x
  2. Step 2: Convert to fraction form
    13,333.26/19,999.90 = 4,099.26/x
  3. Step 3: Cross multiply
    13,333.26x = 19,999.90 × 4,099.26
  4. Step 4: Simplify right side
    13,333.26x = 81,984,790.07
  5. Step 5: Solve for x
    x = 81,984,790.07/13,333.26
  6. Step 6: Final answer
    x = 6,148.89

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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.