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Finding the Fourth Proportional to 29,164.70, 40,237.22 and 16,415.84

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Solution

The fourth proportional to 29,164.70, 40,237.22 and 16,415.84 is: 22,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.70 : 40,237.22 = 16,415.84 : x
  2. Step 2: Convert to fraction form
    29,164.70/40,237.22 = 16,415.84/x
  3. Step 3: Cross multiply
    29,164.70x = 40,237.22 × 16,415.84
  4. Step 4: Simplify right side
    29,164.70x = 660,527,765.56
  5. Step 5: Solve for x
    x = 660,527,765.56/29,164.70
  6. Step 6: Final answer
    x = 22,648.19

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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.