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Finding the Fourth Proportional to 23,533.92, 35,293.40 and 7,735.30

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Solution

The fourth proportional to 23,533.92, 35,293.40 and 7,735.30 is: 11,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.92 : 35,293.40 = 7,735.30 : x
  2. Step 2: Convert to fraction form
    23,533.92/35,293.40 = 7,735.30/x
  3. Step 3: Cross multiply
    23,533.92x = 35,293.40 × 7,735.30
  4. Step 4: Simplify right side
    23,533.92x = 273,004,998.34
  5. Step 5: Solve for x
    x = 273,004,998.34/23,533.92
  6. Step 6: Final answer
    x = 11,600.49

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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.