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Finding the Fourth Proportional to 13,703.50, 20,558.50 and 4,469.50

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Solution

The fourth proportional to 13,703.50, 20,558.50 and 4,469.50 is: 6,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.50 : 20,558.50 = 4,469.50 : x
  2. Step 2: Convert to fraction form
    13,703.50/20,558.50 = 4,469.50/x
  3. Step 3: Cross multiply
    13,703.50x = 20,558.50 × 4,469.50
  4. Step 4: Simplify right side
    13,703.50x = 91,886,215.75
  5. Step 5: Solve for x
    x = 91,886,215.75/13,703.50
  6. Step 6: Final answer
    x = 6,705.31

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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.