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Finding the Fourth Proportional to 13,370, 20,056.08 and 4,136

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Solution

The fourth proportional to 13,370, 20,056.08 and 4,136 is: 6,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370 : 20,056.08 = 4,136 : x
  2. Step 2: Convert to fraction form
    13,370/20,056.08 = 4,136/x
  3. Step 3: Cross multiply
    13,370x = 20,056.08 × 4,136
  4. Step 4: Simplify right side
    13,370x = 82,951,946.88
  5. Step 5: Solve for x
    x = 82,951,946.88/13,370
  6. Step 6: Final answer
    x = 6,204.33

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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.