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Finding the Fourth Proportional to 15,847.61, 23,770.46 and 4,754.50

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Solution

The fourth proportional to 15,847.61, 23,770.46 and 4,754.50 is: 7,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.61 : 23,770.46 = 4,754.50 : x
  2. Step 2: Convert to fraction form
    15,847.61/23,770.46 = 4,754.50/x
  3. Step 3: Cross multiply
    15,847.61x = 23,770.46 × 4,754.50
  4. Step 4: Simplify right side
    15,847.61x = 113,016,604.53
  5. Step 5: Solve for x
    x = 113,016,604.53/15,847.61
  6. Step 6: Final answer
    x = 7,131.46

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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.