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Finding the Fourth Proportional to 15,738, 23,611.05 and 5,877.35

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Solution

The fourth proportional to 15,738, 23,611.05 and 5,877.35 is: 8,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738 : 23,611.05 = 5,877.35 : x
  2. Step 2: Convert to fraction form
    15,738/23,611.05 = 5,877.35/x
  3. Step 3: Cross multiply
    15,738x = 23,611.05 × 5,877.35
  4. Step 4: Simplify right side
    15,738x = 138,770,404.72
  5. Step 5: Solve for x
    x = 138,770,404.72/15,738
  6. Step 6: Final answer
    x = 8,817.54

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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.