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Finding the Fourth Proportional to 20,927.70, 31,408.02 and 18,467.46

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Solution

The fourth proportional to 20,927.70, 31,408.02 and 18,467.46 is: 27,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,927.70 : 31,408.02 = 18,467.46 : x
  2. Step 2: Convert to fraction form
    20,927.70/31,408.02 = 18,467.46/x
  3. Step 3: Cross multiply
    20,927.70x = 31,408.02 × 18,467.46
  4. Step 4: Simplify right side
    20,927.70x = 580,026,353.03
  5. Step 5: Solve for x
    x = 580,026,353.03/20,927.70
  6. Step 6: Final answer
    x = 27,715.72

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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.