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Finding the Fourth Proportional to 12,076.58, 18,100.26 and 5,136.50

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Solution

The fourth proportional to 12,076.58, 18,100.26 and 5,136.50 is: 7,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.58 : 18,100.26 = 5,136.50 : x
  2. Step 2: Convert to fraction form
    12,076.58/18,100.26 = 5,136.50/x
  3. Step 3: Cross multiply
    12,076.58x = 18,100.26 × 5,136.50
  4. Step 4: Simplify right side
    12,076.58x = 92,971,985.49
  5. Step 5: Solve for x
    x = 92,971,985.49/12,076.58
  6. Step 6: Final answer
    x = 7,698.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.