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Finding the Fourth Proportional to 29,164.25, 40,242.62 and 16,415.26

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Solution

The fourth proportional to 29,164.25, 40,242.62 and 16,415.26 is: 22,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.25 : 40,242.62 = 16,415.26 : x
  2. Step 2: Convert to fraction form
    29,164.25/40,242.62 = 16,415.26/x
  3. Step 3: Cross multiply
    29,164.25x = 40,242.62 × 16,415.26
  4. Step 4: Simplify right side
    29,164.25x = 660,593,010.81
  5. Step 5: Solve for x
    x = 660,593,010.81/29,164.25
  6. Step 6: Final answer
    x = 22,650.78

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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.