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Finding the Fourth Proportional to 13,733, 20,599.50 and 5,525

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Solution

The fourth proportional to 13,733, 20,599.50 and 5,525 is: 8,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733 : 20,599.50 = 5,525 : x
  2. Step 2: Convert to fraction form
    13,733/20,599.50 = 5,525/x
  3. Step 3: Cross multiply
    13,733x = 20,599.50 × 5,525
  4. Step 4: Simplify right side
    13,733x = 113,812,237.50
  5. Step 5: Solve for x
    x = 113,812,237.50/13,733
  6. Step 6: Final answer
    x = 8,287.50

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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.