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Finding the Fourth Proportional to 20,474.67, 30,699.41 and 9,384.76

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Solution

The fourth proportional to 20,474.67, 30,699.41 and 9,384.76 is: 14,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.67 : 30,699.41 = 9,384.76 : x
  2. Step 2: Convert to fraction form
    20,474.67/30,699.41 = 9,384.76/x
  3. Step 3: Cross multiply
    20,474.67x = 30,699.41 × 9,384.76
  4. Step 4: Simplify right side
    20,474.67x = 288,106,586.44
  5. Step 5: Solve for x
    x = 288,106,586.44/20,474.67
  6. Step 6: Final answer
    x = 14,071.36

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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.