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Finding the Fourth Proportional to 29,333.88, 44,007.30 and 13,743

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Solution

The fourth proportional to 29,333.88, 44,007.30 and 13,743 is: 20,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,333.88 : 44,007.30 = 13,743 : x
  2. Step 2: Convert to fraction form
    29,333.88/44,007.30 = 13,743/x
  3. Step 3: Cross multiply
    29,333.88x = 44,007.30 × 13,743
  4. Step 4: Simplify right side
    29,333.88x = 604,792,323.90
  5. Step 5: Solve for x
    x = 604,792,323.90/29,333.88
  6. Step 6: Final answer
    x = 20,617.54

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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.