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Finding the Fourth Proportional to 12,050.78, 16,632.06 and 8,270.83

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Solution

The fourth proportional to 12,050.78, 16,632.06 and 8,270.83 is: 11,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050.78 : 16,632.06 = 8,270.83 : x
  2. Step 2: Convert to fraction form
    12,050.78/16,632.06 = 8,270.83/x
  3. Step 3: Cross multiply
    12,050.78x = 16,632.06 × 8,270.83
  4. Step 4: Simplify right side
    12,050.78x = 137,561,000.62
  5. Step 5: Solve for x
    x = 137,561,000.62/12,050.78
  6. Step 6: Final answer
    x = 11,415.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.