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Finding the Fourth Proportional to 18,896.42, 28,335.31 and 6,411.89

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Solution

The fourth proportional to 18,896.42, 28,335.31 and 6,411.89 is: 9,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.42 : 28,335.31 = 6,411.89 : x
  2. Step 2: Convert to fraction form
    18,896.42/28,335.31 = 6,411.89/x
  3. Step 3: Cross multiply
    18,896.42x = 28,335.31 × 6,411.89
  4. Step 4: Simplify right side
    18,896.42x = 181,682,890.84
  5. Step 5: Solve for x
    x = 181,682,890.84/18,896.42
  6. Step 6: Final answer
    x = 9,614.67

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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.