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Finding the Fourth Proportional to 12,103.14, 18,158.22 and 4,312.56

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Solution

The fourth proportional to 12,103.14, 18,158.22 and 4,312.56 is: 6,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.14 : 18,158.22 = 4,312.56 : x
  2. Step 2: Convert to fraction form
    12,103.14/18,158.22 = 4,312.56/x
  3. Step 3: Cross multiply
    12,103.14x = 18,158.22 × 4,312.56
  4. Step 4: Simplify right side
    12,103.14x = 78,308,413.24
  5. Step 5: Solve for x
    x = 78,308,413.24/12,103.14
  6. Step 6: Final answer
    x = 6,470.09

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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.