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Finding the Fourth Proportional to 23,874.99, 35,828.03 and 9,084.03

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Solution

The fourth proportional to 23,874.99, 35,828.03 and 9,084.03 is: 13,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.99 : 35,828.03 = 9,084.03 : x
  2. Step 2: Convert to fraction form
    23,874.99/35,828.03 = 9,084.03/x
  3. Step 3: Cross multiply
    23,874.99x = 35,828.03 × 9,084.03
  4. Step 4: Simplify right side
    23,874.99x = 325,462,922.07
  5. Step 5: Solve for x
    x = 325,462,922.07/23,874.99
  6. Step 6: Final answer
    x = 13,631.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.