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Finding the Fourth Proportional to 23,533.67, 35,293.02 and 7,735.05

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Solution

The fourth proportional to 23,533.67, 35,293.02 and 7,735.05 is: 11,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.67 : 35,293.02 = 7,735.05 : x
  2. Step 2: Convert to fraction form
    23,533.67/35,293.02 = 7,735.05/x
  3. Step 3: Cross multiply
    23,533.67x = 35,293.02 × 7,735.05
  4. Step 4: Simplify right side
    23,533.67x = 272,993,274.35
  5. Step 5: Solve for x
    x = 272,993,274.35/23,533.67
  6. Step 6: Final answer
    x = 11,600.12

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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.