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Finding the Fourth Proportional to 16,262.34, 24,388.70 and 6,902.24

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Solution

The fourth proportional to 16,262.34, 24,388.70 and 6,902.24 is: 10,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.34 : 24,388.70 = 6,902.24 : x
  2. Step 2: Convert to fraction form
    16,262.34/24,388.70 = 6,902.24/x
  3. Step 3: Cross multiply
    16,262.34x = 24,388.70 × 6,902.24
  4. Step 4: Simplify right side
    16,262.34x = 168,336,660.69
  5. Step 5: Solve for x
    x = 168,336,660.69/16,262.34
  6. Step 6: Final answer
    x = 10,351.32

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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.