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Finding the Fourth Proportional to 23,858.92, 35,794.18 and 7,218.01

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Solution

The fourth proportional to 23,858.92, 35,794.18 and 7,218.01 is: 10,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.92 : 35,794.18 = 7,218.01 : x
  2. Step 2: Convert to fraction form
    23,858.92/35,794.18 = 7,218.01/x
  3. Step 3: Cross multiply
    23,858.92x = 35,794.18 × 7,218.01
  4. Step 4: Simplify right side
    23,858.92x = 258,362,828.32
  5. Step 5: Solve for x
    x = 258,362,828.32/23,858.92
  6. Step 6: Final answer
    x = 10,828.77

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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.