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Finding the Fourth Proportional to 23,730.68, 35,596.32 and 7,086.90

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Solution

The fourth proportional to 23,730.68, 35,596.32 and 7,086.90 is: 10,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,730.68 : 35,596.32 = 7,086.90 : x
  2. Step 2: Convert to fraction form
    23,730.68/35,596.32 = 7,086.90/x
  3. Step 3: Cross multiply
    23,730.68x = 35,596.32 × 7,086.90
  4. Step 4: Simplify right side
    23,730.68x = 252,267,560.21
  5. Step 5: Solve for x
    x = 252,267,560.21/23,730.68
  6. Step 6: Final answer
    x = 10,630.44

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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.