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Finding the Fourth Proportional to 29,728.35, 41,023.89 and 17,784.63

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Solution

The fourth proportional to 29,728.35, 41,023.89 and 17,784.63 is: 24,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,728.35 : 41,023.89 = 17,784.63 : x
  2. Step 2: Convert to fraction form
    29,728.35/41,023.89 = 17,784.63/x
  3. Step 3: Cross multiply
    29,728.35x = 41,023.89 × 17,784.63
  4. Step 4: Simplify right side
    29,728.35x = 729,594,704.81
  5. Step 5: Solve for x
    x = 729,594,704.81/29,728.35
  6. Step 6: Final answer
    x = 24,542.05

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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.