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Finding the Fourth Proportional to 17,588.75, 26,387.44 and 8,096.63

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Solution

The fourth proportional to 17,588.75, 26,387.44 and 8,096.63 is: 12,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.75 : 26,387.44 = 8,096.63 : x
  2. Step 2: Convert to fraction form
    17,588.75/26,387.44 = 8,096.63/x
  3. Step 3: Cross multiply
    17,588.75x = 26,387.44 × 8,096.63
  4. Step 4: Simplify right side
    17,588.75x = 213,649,186.15
  5. Step 5: Solve for x
    x = 213,649,186.15/17,588.75
  6. Step 6: Final answer
    x = 12,146.93

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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.