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Finding the Fourth Proportional to 23,535.96, 35,308.80 and 6,896.54

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Solution

The fourth proportional to 23,535.96, 35,308.80 and 6,896.54 is: 10,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.96 : 35,308.80 = 6,896.54 : x
  2. Step 2: Convert to fraction form
    23,535.96/35,308.80 = 6,896.54/x
  3. Step 3: Cross multiply
    23,535.96x = 35,308.80 × 6,896.54
  4. Step 4: Simplify right side
    23,535.96x = 243,508,375.01
  5. Step 5: Solve for x
    x = 243,508,375.01/23,535.96
  6. Step 6: Final answer
    x = 10,346.23

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