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Finding the Fourth Proportional to 23,982.34, 35,972.16 and 7,342.24

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Solution

The fourth proportional to 23,982.34, 35,972.16 and 7,342.24 is: 11,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982.34 : 35,972.16 = 7,342.24 : x
  2. Step 2: Convert to fraction form
    23,982.34/35,972.16 = 7,342.24/x
  3. Step 3: Cross multiply
    23,982.34x = 35,972.16 × 7,342.24
  4. Step 4: Simplify right side
    23,982.34x = 264,116,232.04
  5. Step 5: Solve for x
    x = 264,116,232.04/23,982.34
  6. Step 6: Final answer
    x = 11,012.95

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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.