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Finding the Fourth Proportional to 15,456.51, 23,171.09 and 7,447.23

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Solution

The fourth proportional to 15,456.51, 23,171.09 and 7,447.23 is: 11,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.51 : 23,171.09 = 7,447.23 : x
  2. Step 2: Convert to fraction form
    15,456.51/23,171.09 = 7,447.23/x
  3. Step 3: Cross multiply
    15,456.51x = 23,171.09 × 7,447.23
  4. Step 4: Simplify right side
    15,456.51x = 172,560,399.34
  5. Step 5: Solve for x
    x = 172,560,399.34/15,456.51
  6. Step 6: Final answer
    x = 11,164.25

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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.