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Finding the Fourth Proportional to 16,944.12, 25,409.86 and 7,084.08

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Solution

The fourth proportional to 16,944.12, 25,409.86 and 7,084.08 is: 10,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944.12 : 25,409.86 = 7,084.08 : x
  2. Step 2: Convert to fraction form
    16,944.12/25,409.86 = 7,084.08/x
  3. Step 3: Cross multiply
    16,944.12x = 25,409.86 × 7,084.08
  4. Step 4: Simplify right side
    16,944.12x = 180,005,481.03
  5. Step 5: Solve for x
    x = 180,005,481.03/16,944.12
  6. Step 6: Final answer
    x = 10,623.48

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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.