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Finding the Fourth Proportional to 29,406.24, 40,577.76 and 16,828.56

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Solution

The fourth proportional to 29,406.24, 40,577.76 and 16,828.56 is: 23,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.24 : 40,577.76 = 16,828.56 : x
  2. Step 2: Convert to fraction form
    29,406.24/40,577.76 = 16,828.56/x
  3. Step 3: Cross multiply
    29,406.24x = 40,577.76 × 16,828.56
  4. Step 4: Simplify right side
    29,406.24x = 682,865,268.83
  5. Step 5: Solve for x
    x = 682,865,268.83/29,406.24
  6. Step 6: Final answer
    x = 23,221.78

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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.