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Finding the Fourth Proportional to 20,674.72, 31,014.96 and 7,524.64

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Solution

The fourth proportional to 20,674.72, 31,014.96 and 7,524.64 is: 11,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.72 : 31,014.96 = 7,524.64 : x
  2. Step 2: Convert to fraction form
    20,674.72/31,014.96 = 7,524.64/x
  3. Step 3: Cross multiply
    20,674.72x = 31,014.96 × 7,524.64
  4. Step 4: Simplify right side
    20,674.72x = 233,376,408.61
  5. Step 5: Solve for x
    x = 233,376,408.61/20,674.72
  6. Step 6: Final answer
    x = 11,288.01

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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.