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Finding the Fourth Proportional to 23,834.41, 35,743.76 and 8,035.17

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Solution

The fourth proportional to 23,834.41, 35,743.76 and 8,035.17 is: 12,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.41 : 35,743.76 = 8,035.17 : x
  2. Step 2: Convert to fraction form
    23,834.41/35,743.76 = 8,035.17/x
  3. Step 3: Cross multiply
    23,834.41x = 35,743.76 × 8,035.17
  4. Step 4: Simplify right side
    23,834.41x = 287,207,290.21
  5. Step 5: Solve for x
    x = 287,207,290.21/23,834.41
  6. Step 6: Final answer
    x = 12,050.11

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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.