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Finding the Fourth Proportional to 13,647.20, 20,466.96 and 7,800.56

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Solution

The fourth proportional to 13,647.20, 20,466.96 and 7,800.56 is: 11,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.20 : 20,466.96 = 7,800.56 : x
  2. Step 2: Convert to fraction form
    13,647.20/20,466.96 = 7,800.56/x
  3. Step 3: Cross multiply
    13,647.20x = 20,466.96 × 7,800.56
  4. Step 4: Simplify right side
    13,647.20x = 159,653,749.50
  5. Step 5: Solve for x
    x = 159,653,749.50/13,647.20
  6. Step 6: Final answer
    x = 11,698.65

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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.