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Finding the Fourth Proportional to 23,096.76, 31,873.62 and 12,486.48

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Solution

The fourth proportional to 23,096.76, 31,873.62 and 12,486.48 is: 17,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.76 : 31,873.62 = 12,486.48 : x
  2. Step 2: Convert to fraction form
    23,096.76/31,873.62 = 12,486.48/x
  3. Step 3: Cross multiply
    23,096.76x = 31,873.62 × 12,486.48
  4. Step 4: Simplify right side
    23,096.76x = 397,989,318.66
  5. Step 5: Solve for x
    x = 397,989,318.66/23,096.76
  6. Step 6: Final answer
    x = 17,231.39

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Why These Related Problems?

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