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Finding the Fourth Proportional to 23,500.26, 35,242.02 and 6,855.84

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Solution

The fourth proportional to 23,500.26, 35,242.02 and 6,855.84 is: 10,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.26 : 35,242.02 = 6,855.84 : x
  2. Step 2: Convert to fraction form
    23,500.26/35,242.02 = 6,855.84/x
  3. Step 3: Cross multiply
    23,500.26x = 35,242.02 × 6,855.84
  4. Step 4: Simplify right side
    23,500.26x = 241,613,650.40
  5. Step 5: Solve for x
    x = 241,613,650.40/23,500.26
  6. Step 6: Final answer
    x = 10,281.32

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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.