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Finding the Fourth Proportional to 15,936.26, 23,904.18 and 7,164.98

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Solution

The fourth proportional to 15,936.26, 23,904.18 and 7,164.98 is: 10,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.26 : 23,904.18 = 7,164.98 : x
  2. Step 2: Convert to fraction form
    15,936.26/23,904.18 = 7,164.98/x
  3. Step 3: Cross multiply
    15,936.26x = 23,904.18 × 7,164.98
  4. Step 4: Simplify right side
    15,936.26x = 171,272,971.62
  5. Step 5: Solve for x
    x = 171,272,971.62/15,936.26
  6. Step 6: Final answer
    x = 10,747.38

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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.