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Finding the Fourth Proportional to 23,768.28, 35,650.31 and 7,132.01

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Solution

The fourth proportional to 23,768.28, 35,650.31 and 7,132.01 is: 10,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,768.28 : 35,650.31 = 7,132.01 : x
  2. Step 2: Convert to fraction form
    23,768.28/35,650.31 = 7,132.01/x
  3. Step 3: Cross multiply
    23,768.28x = 35,650.31 × 7,132.01
  4. Step 4: Simplify right side
    23,768.28x = 254,258,153.51
  5. Step 5: Solve for x
    x = 254,258,153.51/23,768.28
  6. Step 6: Final answer
    x = 10,697.37

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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.