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Finding the Fourth Proportional to 13,793.50, 20,693.49 and 4,559.50

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Solution

The fourth proportional to 13,793.50, 20,693.49 and 4,559.50 is: 6,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.50 : 20,693.49 = 4,559.50 : x
  2. Step 2: Convert to fraction form
    13,793.50/20,693.49 = 4,559.50/x
  3. Step 3: Cross multiply
    13,793.50x = 20,693.49 × 4,559.50
  4. Step 4: Simplify right side
    13,793.50x = 94,351,967.66
  5. Step 5: Solve for x
    x = 94,351,967.66/13,793.50
  6. Step 6: Final answer
    x = 6,840.32

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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.