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Finding the Fourth Proportional to 15,952.33, 23,936.73 and 7,630.66

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Solution

The fourth proportional to 15,952.33, 23,936.73 and 7,630.66 is: 11,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.33 : 23,936.73 = 7,630.66 : x
  2. Step 2: Convert to fraction form
    15,952.33/23,936.73 = 7,630.66/x
  3. Step 3: Cross multiply
    15,952.33x = 23,936.73 × 7,630.66
  4. Step 4: Simplify right side
    15,952.33x = 182,653,092.37
  5. Step 5: Solve for x
    x = 182,653,092.37/15,952.33
  6. Step 6: Final answer
    x = 11,449.93

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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.