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Finding the Fourth Proportional to 13,635.57, 20,467.68 and 12,085.50

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Solution

The fourth proportional to 13,635.57, 20,467.68 and 12,085.50 is: 18,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.57 : 20,467.68 = 12,085.50 : x
  2. Step 2: Convert to fraction form
    13,635.57/20,467.68 = 12,085.50/x
  3. Step 3: Cross multiply
    13,635.57x = 20,467.68 × 12,085.50
  4. Step 4: Simplify right side
    13,635.57x = 247,362,146.64
  5. Step 5: Solve for x
    x = 247,362,146.64/13,635.57
  6. Step 6: Final answer
    x = 18,140.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.