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Finding the Fourth Proportional to 29,523.96, 44,274.50 and 9,797.22

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Solution

The fourth proportional to 29,523.96, 44,274.50 and 9,797.22 is: 14,692.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,523.96 : 44,274.50 = 9,797.22 : x
  2. Step 2: Convert to fraction form
    29,523.96/44,274.50 = 9,797.22/x
  3. Step 3: Cross multiply
    29,523.96x = 44,274.50 × 9,797.22
  4. Step 4: Simplify right side
    29,523.96x = 433,767,016.89
  5. Step 5: Solve for x
    x = 433,767,016.89/29,523.96
  6. Step 6: Final answer
    x = 14,692.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.