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Finding the Fourth Proportional to 18,214.47, 25,122.56 and 13,738.41

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Solution

The fourth proportional to 18,214.47, 25,122.56 and 13,738.41 is: 18,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.47 : 25,122.56 = 13,738.41 : x
  2. Step 2: Convert to fraction form
    18,214.47/25,122.56 = 13,738.41/x
  3. Step 3: Cross multiply
    18,214.47x = 25,122.56 × 13,738.41
  4. Step 4: Simplify right side
    18,214.47x = 345,143,960.84
  5. Step 5: Solve for x
    x = 345,143,960.84/18,214.47
  6. Step 6: Final answer
    x = 18,948.89

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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.