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Finding the Fourth Proportional to 12,137.75, 18,213.70 and 5,117.33

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Solution

The fourth proportional to 12,137.75, 18,213.70 and 5,117.33 is: 7,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.75 : 18,213.70 = 5,117.33 : x
  2. Step 2: Convert to fraction form
    12,137.75/18,213.70 = 5,117.33/x
  3. Step 3: Cross multiply
    12,137.75x = 18,213.70 × 5,117.33
  4. Step 4: Simplify right side
    12,137.75x = 93,205,513.42
  5. Step 5: Solve for x
    x = 93,205,513.42/12,137.75
  6. Step 6: Final answer
    x = 7,678.98

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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.