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Finding the Fourth Proportional to 23,846.48, 35,769.96 and 7,206.64

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Solution

The fourth proportional to 23,846.48, 35,769.96 and 7,206.64 is: 10,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.48 : 35,769.96 = 7,206.64 : x
  2. Step 2: Convert to fraction form
    23,846.48/35,769.96 = 7,206.64/x
  3. Step 3: Cross multiply
    23,846.48x = 35,769.96 × 7,206.64
  4. Step 4: Simplify right side
    23,846.48x = 257,781,224.53
  5. Step 5: Solve for x
    x = 257,781,224.53/23,846.48
  6. Step 6: Final answer
    x = 10,810.03

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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.