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Finding the Fourth Proportional to 12,793.41, 19,186.47 and 8,106.35

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Solution

The fourth proportional to 12,793.41, 19,186.47 and 8,106.35 is: 12,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.41 : 19,186.47 = 8,106.35 : x
  2. Step 2: Convert to fraction form
    12,793.41/19,186.47 = 8,106.35/x
  3. Step 3: Cross multiply
    12,793.41x = 19,186.47 × 8,106.35
  4. Step 4: Simplify right side
    12,793.41x = 155,532,145.15
  5. Step 5: Solve for x
    x = 155,532,145.15/12,793.41
  6. Step 6: Final answer
    x = 12,157.21

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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.