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Finding the Fourth Proportional to 15,741, 23,611.59 and 5,352.84

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Solution

The fourth proportional to 15,741, 23,611.59 and 5,352.84 is: 8,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741 : 23,611.59 = 5,352.84 : x
  2. Step 2: Convert to fraction form
    15,741/23,611.59 = 5,352.84/x
  3. Step 3: Cross multiply
    15,741x = 23,611.59 × 5,352.84
  4. Step 4: Simplify right side
    15,741x = 126,389,063.42
  5. Step 5: Solve for x
    x = 126,389,063.42/15,741
  6. Step 6: Final answer
    x = 8,029.29

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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.