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Finding the Fourth Proportional to 29,543.16, 40,768.26 and 16,114.14

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Solution

The fourth proportional to 29,543.16, 40,768.26 and 16,114.14 is: 22,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.16 : 40,768.26 = 16,114.14 : x
  2. Step 2: Convert to fraction form
    29,543.16/40,768.26 = 16,114.14/x
  3. Step 3: Cross multiply
    29,543.16x = 40,768.26 × 16,114.14
  4. Step 4: Simplify right side
    29,543.16x = 656,945,449.20
  5. Step 5: Solve for x
    x = 656,945,449.20/29,543.16
  6. Step 6: Final answer
    x = 22,236.80

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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.