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Finding the Fourth Proportional to 12,653.70, 18,992.16 and 6,418.05

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Solution

The fourth proportional to 12,653.70, 18,992.16 and 6,418.05 is: 9,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.70 : 18,992.16 = 6,418.05 : x
  2. Step 2: Convert to fraction form
    12,653.70/18,992.16 = 6,418.05/x
  3. Step 3: Cross multiply
    12,653.70x = 18,992.16 × 6,418.05
  4. Step 4: Simplify right side
    12,653.70x = 121,892,632.49
  5. Step 5: Solve for x
    x = 121,892,632.49/12,653.70
  6. Step 6: Final answer
    x = 9,632.96

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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.