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Finding the Fourth Proportional to 29,571.26, 40,807.73 and 16,142.47

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Solution

The fourth proportional to 29,571.26, 40,807.73 and 16,142.47 is: 22,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571.26 : 40,807.73 = 16,142.47 : x
  2. Step 2: Convert to fraction form
    29,571.26/40,807.73 = 16,142.47/x
  3. Step 3: Cross multiply
    29,571.26x = 40,807.73 × 16,142.47
  4. Step 4: Simplify right side
    29,571.26x = 658,737,495.63
  5. Step 5: Solve for x
    x = 658,737,495.63/29,571.26
  6. Step 6: Final answer
    x = 22,276.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.