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Finding the Fourth Proportional to 20,887.98, 31,339 and 7,741.42

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Solution

The fourth proportional to 20,887.98, 31,339 and 7,741.42 is: 11,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.98 : 31,339 = 7,741.42 : x
  2. Step 2: Convert to fraction form
    20,887.98/31,339 = 7,741.42/x
  3. Step 3: Cross multiply
    20,887.98x = 31,339 × 7,741.42
  4. Step 4: Simplify right side
    20,887.98x = 242,608,361.38
  5. Step 5: Solve for x
    x = 242,608,361.38/20,887.98
  6. Step 6: Final answer
    x = 11,614.74

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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.