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Finding the Fourth Proportional to 13,533, 20,299.62 and 5,325

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Solution

The fourth proportional to 13,533, 20,299.62 and 5,325 is: 7,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533 : 20,299.62 = 5,325 : x
  2. Step 2: Convert to fraction form
    13,533/20,299.62 = 5,325/x
  3. Step 3: Cross multiply
    13,533x = 20,299.62 × 5,325
  4. Step 4: Simplify right side
    13,533x = 108,095,476.50
  5. Step 5: Solve for x
    x = 108,095,476.50/13,533
  6. Step 6: Final answer
    x = 7,987.55

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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.