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Finding the Fourth Proportional to 11,444.81, 17,142.71 and 8,640.59

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Solution

The fourth proportional to 11,444.81, 17,142.71 and 8,640.59 is: 12,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.81 : 17,142.71 = 8,640.59 : x
  2. Step 2: Convert to fraction form
    11,444.81/17,142.71 = 8,640.59/x
  3. Step 3: Cross multiply
    11,444.81x = 17,142.71 × 8,640.59
  4. Step 4: Simplify right side
    11,444.81x = 148,122,999.68
  5. Step 5: Solve for x
    x = 148,122,999.68/11,444.81
  6. Step 6: Final answer
    x = 12,942.38

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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.