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Finding the Fourth Proportional to 12,157.74, 18,238.55 and 5,137.82

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Solution

The fourth proportional to 12,157.74, 18,238.55 and 5,137.82 is: 7,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.74 : 18,238.55 = 5,137.82 : x
  2. Step 2: Convert to fraction form
    12,157.74/18,238.55 = 5,137.82/x
  3. Step 3: Cross multiply
    12,157.74x = 18,238.55 × 5,137.82
  4. Step 4: Simplify right side
    12,157.74x = 93,706,270.08
  5. Step 5: Solve for x
    x = 93,706,270.08/12,157.74
  6. Step 6: Final answer
    x = 7,707.54

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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.