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Finding the Fourth Proportional to 23,112.32, 31,906.80 and 16,026.44

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Solution

The fourth proportional to 23,112.32, 31,906.80 and 16,026.44 is: 22,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.32 : 31,906.80 = 16,026.44 : x
  2. Step 2: Convert to fraction form
    23,112.32/31,906.80 = 16,026.44/x
  3. Step 3: Cross multiply
    23,112.32x = 31,906.80 × 16,026.44
  4. Step 4: Simplify right side
    23,112.32x = 511,352,415.79
  5. Step 5: Solve for x
    x = 511,352,415.79/23,112.32
  6. Step 6: Final answer
    x = 22,124.67

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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.