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Finding the Fourth Proportional to 23,845.99, 35,769.23 and 7,206.16

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Solution

The fourth proportional to 23,845.99, 35,769.23 and 7,206.16 is: 10,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,845.99 : 35,769.23 = 7,206.16 : x
  2. Step 2: Convert to fraction form
    23,845.99/35,769.23 = 7,206.16/x
  3. Step 3: Cross multiply
    23,845.99x = 35,769.23 × 7,206.16
  4. Step 4: Simplify right side
    23,845.99x = 257,758,579.58
  5. Step 5: Solve for x
    x = 257,758,579.58/23,845.99
  6. Step 6: Final answer
    x = 10,809.31

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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.