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Finding the Fourth Proportional to 23,096.84, 31,873.69 and 12,486.47

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Solution

The fourth proportional to 23,096.84, 31,873.69 and 12,486.47 is: 17,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.84 : 31,873.69 = 12,486.47 : x
  2. Step 2: Convert to fraction form
    23,096.84/31,873.69 = 12,486.47/x
  3. Step 3: Cross multiply
    23,096.84x = 31,873.69 × 12,486.47
  4. Step 4: Simplify right side
    23,096.84x = 397,989,873.97
  5. Step 5: Solve for x
    x = 397,989,873.97/23,096.84
  6. Step 6: Final answer
    x = 17,231.36

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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.