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Finding the Fourth Proportional to 23,564.25, 35,346.38 and 7,148.25

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Solution

The fourth proportional to 23,564.25, 35,346.38 and 7,148.25 is: 10,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.25 : 35,346.38 = 7,148.25 : x
  2. Step 2: Convert to fraction form
    23,564.25/35,346.38 = 7,148.25/x
  3. Step 3: Cross multiply
    23,564.25x = 35,346.38 × 7,148.25
  4. Step 4: Simplify right side
    23,564.25x = 252,664,725.09
  5. Step 5: Solve for x
    x = 252,664,725.09/23,564.25
  6. Step 6: Final answer
    x = 10,722.38

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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.