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Finding the Fourth Proportional to 13,485.50, 20,229.06 and 4,251.50

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Solution

The fourth proportional to 13,485.50, 20,229.06 and 4,251.50 is: 6,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.50 : 20,229.06 = 4,251.50 : x
  2. Step 2: Convert to fraction form
    13,485.50/20,229.06 = 4,251.50/x
  3. Step 3: Cross multiply
    13,485.50x = 20,229.06 × 4,251.50
  4. Step 4: Simplify right side
    13,485.50x = 86,003,848.59
  5. Step 5: Solve for x
    x = 86,003,848.59/13,485.50
  6. Step 6: Final answer
    x = 6,377.51

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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.