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Finding the Fourth Proportional to 23,834.12, 35,741.58 and 7,189

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Solution

The fourth proportional to 23,834.12, 35,741.58 and 7,189 is: 10,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.12 : 35,741.58 = 7,189 : x
  2. Step 2: Convert to fraction form
    23,834.12/35,741.58 = 7,189/x
  3. Step 3: Cross multiply
    23,834.12x = 35,741.58 × 7,189
  4. Step 4: Simplify right side
    23,834.12x = 256,946,218.62
  5. Step 5: Solve for x
    x = 256,946,218.62/23,834.12
  6. Step 6: Final answer
    x = 10,780.60

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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.