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Finding the Fourth Proportional to 23,770.84, 35,643.96 and 11,911.90

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Solution

The fourth proportional to 23,770.84, 35,643.96 and 11,911.90 is: 17,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.84 : 35,643.96 = 11,911.90 : x
  2. Step 2: Convert to fraction form
    23,770.84/35,643.96 = 11,911.90/x
  3. Step 3: Cross multiply
    23,770.84x = 35,643.96 × 11,911.90
  4. Step 4: Simplify right side
    23,770.84x = 424,587,287.12
  5. Step 5: Solve for x
    x = 424,587,287.12/23,770.84
  6. Step 6: Final answer
    x = 17,861.69

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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.