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Finding the Fourth Proportional to 23,072.76, 31,843.34 and 13,003.67

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Solution

The fourth proportional to 23,072.76, 31,843.34 and 13,003.67 is: 17,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.76 : 31,843.34 = 13,003.67 : x
  2. Step 2: Convert to fraction form
    23,072.76/31,843.34 = 13,003.67/x
  3. Step 3: Cross multiply
    23,072.76x = 31,843.34 × 13,003.67
  4. Step 4: Simplify right side
    23,072.76x = 414,080,060.82
  5. Step 5: Solve for x
    x = 414,080,060.82/23,072.76
  6. Step 6: Final answer
    x = 17,946.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.