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Finding the Fourth Proportional to 15,858.36, 23,796.64 and 7,092.14

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Solution

The fourth proportional to 15,858.36, 23,796.64 and 7,092.14 is: 10,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.36 : 23,796.64 = 7,092.14 : x
  2. Step 2: Convert to fraction form
    15,858.36/23,796.64 = 7,092.14/x
  3. Step 3: Cross multiply
    15,858.36x = 23,796.64 × 7,092.14
  4. Step 4: Simplify right side
    15,858.36x = 168,769,102.41
  5. Step 5: Solve for x
    x = 168,769,102.41/15,858.36
  6. Step 6: Final answer
    x = 10,642.28

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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.