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Finding the Fourth Proportional to 11,999.44, 17,967.60 and 9,646.96

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Solution

The fourth proportional to 11,999.44, 17,967.60 and 9,646.96 is: 14,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.44 : 17,967.60 = 9,646.96 : x
  2. Step 2: Convert to fraction form
    11,999.44/17,967.60 = 9,646.96/x
  3. Step 3: Cross multiply
    11,999.44x = 17,967.60 × 9,646.96
  4. Step 4: Simplify right side
    11,999.44x = 173,332,718.50
  5. Step 5: Solve for x
    x = 173,332,718.50/11,999.44
  6. Step 6: Final answer
    x = 14,445.07

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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.