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Finding the Fourth Proportional to 23,892.57, 35,834.40 and 6,363.90

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Solution

The fourth proportional to 23,892.57, 35,834.40 and 6,363.90 is: 9,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.57 : 35,834.40 = 6,363.90 : x
  2. Step 2: Convert to fraction form
    23,892.57/35,834.40 = 6,363.90/x
  3. Step 3: Cross multiply
    23,892.57x = 35,834.40 × 6,363.90
  4. Step 4: Simplify right side
    23,892.57x = 228,046,538.16
  5. Step 5: Solve for x
    x = 228,046,538.16/23,892.57
  6. Step 6: Final answer
    x = 9,544.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.