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Finding the Fourth Proportional to 13,647.48, 20,446.85 and 7,403.50

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Solution

The fourth proportional to 13,647.48, 20,446.85 and 7,403.50 is: 11,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.48 : 20,446.85 = 7,403.50 : x
  2. Step 2: Convert to fraction form
    13,647.48/20,446.85 = 7,403.50/x
  3. Step 3: Cross multiply
    13,647.48x = 20,446.85 × 7,403.50
  4. Step 4: Simplify right side
    13,647.48x = 151,378,253.98
  5. Step 5: Solve for x
    x = 151,378,253.98/13,647.48
  6. Step 6: Final answer
    x = 11,092.03

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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.