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Finding the Fourth Proportional to 13,677.65, 20,516.46 and 3,289.40

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Solution

The fourth proportional to 13,677.65, 20,516.46 and 3,289.40 is: 4,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.65 : 20,516.46 = 3,289.40 : x
  2. Step 2: Convert to fraction form
    13,677.65/20,516.46 = 3,289.40/x
  3. Step 3: Cross multiply
    13,677.65x = 20,516.46 × 3,289.40
  4. Step 4: Simplify right side
    13,677.65x = 67,486,740.94
  5. Step 5: Solve for x
    x = 67,486,740.94/13,677.65
  6. Step 6: Final answer
    x = 4,934.09

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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.