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Finding the Fourth Proportional to 12,999.86, 19,493.62 and 6,418.36

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Solution

The fourth proportional to 12,999.86, 19,493.62 and 6,418.36 is: 9,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999.86 : 19,493.62 = 6,418.36 : x
  2. Step 2: Convert to fraction form
    12,999.86/19,493.62 = 6,418.36/x
  3. Step 3: Cross multiply
    12,999.86x = 19,493.62 × 6,418.36
  4. Step 4: Simplify right side
    12,999.86x = 125,117,079.18
  5. Step 5: Solve for x
    x = 125,117,079.18/12,999.86
  6. Step 6: Final answer
    x = 9,624.49

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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.