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Finding the Fourth Proportional to 12,156.50, 18,241.92 and 5,136.06

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Solution

The fourth proportional to 12,156.50, 18,241.92 and 5,136.06 is: 7,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.50 : 18,241.92 = 5,136.06 : x
  2. Step 2: Convert to fraction form
    12,156.50/18,241.92 = 5,136.06/x
  3. Step 3: Cross multiply
    12,156.50x = 18,241.92 × 5,136.06
  4. Step 4: Simplify right side
    12,156.50x = 93,691,595.64
  5. Step 5: Solve for x
    x = 93,691,595.64/12,156.50
  6. Step 6: Final answer
    x = 7,707.12

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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.