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Finding the Fourth Proportional to 23,424.34, 35,146.23 and 7,843.18

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Solution

The fourth proportional to 23,424.34, 35,146.23 and 7,843.18 is: 11,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.34 : 35,146.23 = 7,843.18 : x
  2. Step 2: Convert to fraction form
    23,424.34/35,146.23 = 7,843.18/x
  3. Step 3: Cross multiply
    23,424.34x = 35,146.23 × 7,843.18
  4. Step 4: Simplify right side
    23,424.34x = 275,658,208.21
  5. Step 5: Solve for x
    x = 275,658,208.21/23,424.34
  6. Step 6: Final answer
    x = 11,768.02

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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.