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Finding the Fourth Proportional to 20,499.48, 30,736.44 and 9,409.50

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Solution

The fourth proportional to 20,499.48, 30,736.44 and 9,409.50 is: 14,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.48 : 30,736.44 = 9,409.50 : x
  2. Step 2: Convert to fraction form
    20,499.48/30,736.44 = 9,409.50/x
  3. Step 3: Cross multiply
    20,499.48x = 30,736.44 × 9,409.50
  4. Step 4: Simplify right side
    20,499.48x = 289,214,532.18
  5. Step 5: Solve for x
    x = 289,214,532.18/20,499.48
  6. Step 6: Final answer
    x = 14,108.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.