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Finding the Fourth Proportional to 29,666.57, 40,939.16 and 16,237.80

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Solution

The fourth proportional to 29,666.57, 40,939.16 and 16,237.80 is: 22,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.57 : 40,939.16 = 16,237.80 : x
  2. Step 2: Convert to fraction form
    29,666.57/40,939.16 = 16,237.80/x
  3. Step 3: Cross multiply
    29,666.57x = 40,939.16 × 16,237.80
  4. Step 4: Simplify right side
    29,666.57x = 664,761,811.06
  5. Step 5: Solve for x
    x = 664,761,811.06/29,666.57
  6. Step 6: Final answer
    x = 22,407.78

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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.