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Finding the Fourth Proportional to 29,534.57, 40,756.16 and 16,786.05

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Solution

The fourth proportional to 29,534.57, 40,756.16 and 16,786.05 is: 23,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.57 : 40,756.16 = 16,786.05 : x
  2. Step 2: Convert to fraction form
    29,534.57/40,756.16 = 16,786.05/x
  3. Step 3: Cross multiply
    29,534.57x = 40,756.16 × 16,786.05
  4. Step 4: Simplify right side
    29,534.57x = 684,134,939.57
  5. Step 5: Solve for x
    x = 684,134,939.57/29,534.57
  6. Step 6: Final answer
    x = 23,163.87

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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.