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Finding the Fourth Proportional to 13,500.69, 20,255.59 and 8,506.81

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Solution

The fourth proportional to 13,500.69, 20,255.59 and 8,506.81 is: 12,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.69 : 20,255.59 = 8,506.81 : x
  2. Step 2: Convert to fraction form
    13,500.69/20,255.59 = 8,506.81/x
  3. Step 3: Cross multiply
    13,500.69x = 20,255.59 × 8,506.81
  4. Step 4: Simplify right side
    13,500.69x = 172,310,455.57
  5. Step 5: Solve for x
    x = 172,310,455.57/13,500.69
  6. Step 6: Final answer
    x = 12,763.09

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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.