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Finding the Fourth Proportional to 23,788.98, 35,685.36 and 7,994.16

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Solution

The fourth proportional to 23,788.98, 35,685.36 and 7,994.16 is: 11,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.98 : 35,685.36 = 7,994.16 : x
  2. Step 2: Convert to fraction form
    23,788.98/35,685.36 = 7,994.16/x
  3. Step 3: Cross multiply
    23,788.98x = 35,685.36 × 7,994.16
  4. Step 4: Simplify right side
    23,788.98x = 285,274,477.50
  5. Step 5: Solve for x
    x = 285,274,477.50/23,788.98
  6. Step 6: Final answer
    x = 11,991.88

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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.