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Finding the Fourth Proportional to 23,846.99, 35,770.73 and 7,207.16

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Solution

The fourth proportional to 23,846.99, 35,770.73 and 7,207.16 is: 10,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.99 : 35,770.73 = 7,207.16 : x
  2. Step 2: Convert to fraction form
    23,846.99/35,770.73 = 7,207.16/x
  3. Step 3: Cross multiply
    23,846.99x = 35,770.73 × 7,207.16
  4. Step 4: Simplify right side
    23,846.99x = 257,805,159.54
  5. Step 5: Solve for x
    x = 257,805,159.54/23,846.99
  6. Step 6: Final answer
    x = 10,810.81

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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.