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Finding the Fourth Proportional to 23,825.72, 35,727 and 7,182.66

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Solution

The fourth proportional to 23,825.72, 35,727 and 7,182.66 is: 10,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.72 : 35,727 = 7,182.66 : x
  2. Step 2: Convert to fraction form
    23,825.72/35,727 = 7,182.66/x
  3. Step 3: Cross multiply
    23,825.72x = 35,727 × 7,182.66
  4. Step 4: Simplify right side
    23,825.72x = 256,614,893.82
  5. Step 5: Solve for x
    x = 256,614,893.82/23,825.72
  6. Step 6: Final answer
    x = 10,770.50

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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.