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Finding the Fourth Proportional to 23,546.34, 35,311.95 and 10,398.42

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Solution

The fourth proportional to 23,546.34, 35,311.95 and 10,398.42 is: 15,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.34 : 35,311.95 = 10,398.42 : x
  2. Step 2: Convert to fraction form
    23,546.34/35,311.95 = 10,398.42/x
  3. Step 3: Cross multiply
    23,546.34x = 35,311.95 × 10,398.42
  4. Step 4: Simplify right side
    23,546.34x = 367,188,487.12
  5. Step 5: Solve for x
    x = 367,188,487.12/23,546.34
  6. Step 6: Final answer
    x = 15,594.29

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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.