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Finding the Fourth Proportional to 12,404.82, 18,602.37 and 4,611.18

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Solution

The fourth proportional to 12,404.82, 18,602.37 and 4,611.18 is: 6,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.82 : 18,602.37 = 4,611.18 : x
  2. Step 2: Convert to fraction form
    12,404.82/18,602.37 = 4,611.18/x
  3. Step 3: Cross multiply
    12,404.82x = 18,602.37 × 4,611.18
  4. Step 4: Simplify right side
    12,404.82x = 85,778,876.50
  5. Step 5: Solve for x
    x = 85,778,876.50/12,404.82
  6. Step 6: Final answer
    x = 6,914.96

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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.