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Finding the Fourth Proportional to 29,543.13, 40,768.29 and 16,114.14

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Solution

The fourth proportional to 29,543.13, 40,768.29 and 16,114.14 is: 22,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.13 : 40,768.29 = 16,114.14 : x
  2. Step 2: Convert to fraction form
    29,543.13/40,768.29 = 16,114.14/x
  3. Step 3: Cross multiply
    29,543.13x = 40,768.29 × 16,114.14
  4. Step 4: Simplify right side
    29,543.13x = 656,945,932.62
  5. Step 5: Solve for x
    x = 656,945,932.62/29,543.13
  6. Step 6: Final answer
    x = 22,236.84

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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.