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Finding the Fourth Proportional to 13,706.50, 20,533.26 and 8,425.98

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Solution

The fourth proportional to 13,706.50, 20,533.26 and 8,425.98 is: 12,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.50 : 20,533.26 = 8,425.98 : x
  2. Step 2: Convert to fraction form
    13,706.50/20,533.26 = 8,425.98/x
  3. Step 3: Cross multiply
    13,706.50x = 20,533.26 × 8,425.98
  4. Step 4: Simplify right side
    13,706.50x = 173,012,838.09
  5. Step 5: Solve for x
    x = 173,012,838.09/13,706.50
  6. Step 6: Final answer
    x = 12,622.69

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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.