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Finding the Fourth Proportional to 20,278.76, 27,996.50 and 13,478.28

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Solution

The fourth proportional to 20,278.76, 27,996.50 and 13,478.28 is: 18,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.76 : 27,996.50 = 13,478.28 : x
  2. Step 2: Convert to fraction form
    20,278.76/27,996.50 = 13,478.28/x
  3. Step 3: Cross multiply
    20,278.76x = 27,996.50 × 13,478.28
  4. Step 4: Simplify right side
    20,278.76x = 377,344,666.02
  5. Step 5: Solve for x
    x = 377,344,666.02/20,278.76
  6. Step 6: Final answer
    x = 18,607.88

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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.