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Finding the Fourth Proportional to 23,902.44, 32,984.09 and 13,831.05

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Solution

The fourth proportional to 23,902.44, 32,984.09 and 13,831.05 is: 19,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.44 : 32,984.09 = 13,831.05 : x
  2. Step 2: Convert to fraction form
    23,902.44/32,984.09 = 13,831.05/x
  3. Step 3: Cross multiply
    23,902.44x = 32,984.09 × 13,831.05
  4. Step 4: Simplify right side
    23,902.44x = 456,204,528.84
  5. Step 5: Solve for x
    x = 456,204,528.84/23,902.44
  6. Step 6: Final answer
    x = 19,086.11

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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.