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Finding the Fourth Proportional to 18,571.84, 25,629 and 10,188.28

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Solution

The fourth proportional to 18,571.84, 25,629 and 10,188.28 is: 14,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571.84 : 25,629 = 10,188.28 : x
  2. Step 2: Convert to fraction form
    18,571.84/25,629 = 10,188.28/x
  3. Step 3: Cross multiply
    18,571.84x = 25,629 × 10,188.28
  4. Step 4: Simplify right side
    18,571.84x = 261,115,428.12
  5. Step 5: Solve for x
    x = 261,115,428.12/18,571.84
  6. Step 6: Final answer
    x = 14,059.75

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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.