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Finding the Fourth Proportional to 13,447, 20,170.50 and 4,213

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Solution

The fourth proportional to 13,447, 20,170.50 and 4,213 is: 6,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447 : 20,170.50 = 4,213 : x
  2. Step 2: Convert to fraction form
    13,447/20,170.50 = 4,213/x
  3. Step 3: Cross multiply
    13,447x = 20,170.50 × 4,213
  4. Step 4: Simplify right side
    13,447x = 84,978,316.50
  5. Step 5: Solve for x
    x = 84,978,316.50/13,447
  6. Step 6: Final answer
    x = 6,319.50

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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.