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Finding the Fourth Proportional to 23,757.30, 35,642.43 and 7,964.93

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Solution

The fourth proportional to 23,757.30, 35,642.43 and 7,964.93 is: 11,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.30 : 35,642.43 = 7,964.93 : x
  2. Step 2: Convert to fraction form
    23,757.30/35,642.43 = 7,964.93/x
  3. Step 3: Cross multiply
    23,757.30x = 35,642.43 × 7,964.93
  4. Step 4: Simplify right side
    23,757.30x = 283,889,549.09
  5. Step 5: Solve for x
    x = 283,889,549.09/23,757.30
  6. Step 6: Final answer
    x = 11,949.57

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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.