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Finding the Fourth Proportional to 12,157.95, 18,239.37 and 3,838.75

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Solution

The fourth proportional to 12,157.95, 18,239.37 and 3,838.75 is: 5,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.95 : 18,239.37 = 3,838.75 : x
  2. Step 2: Convert to fraction form
    12,157.95/18,239.37 = 3,838.75/x
  3. Step 3: Cross multiply
    12,157.95x = 18,239.37 × 3,838.75
  4. Step 4: Simplify right side
    12,157.95x = 70,016,381.59
  5. Step 5: Solve for x
    x = 70,016,381.59/12,157.95
  6. Step 6: Final answer
    x = 5,758.90

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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.