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Finding the Fourth Proportional to 20,191.84, 27,857 and 14,899.28

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Solution

The fourth proportional to 20,191.84, 27,857 and 14,899.28 is: 20,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.84 : 27,857 = 14,899.28 : x
  2. Step 2: Convert to fraction form
    20,191.84/27,857 = 14,899.28/x
  3. Step 3: Cross multiply
    20,191.84x = 27,857 × 14,899.28
  4. Step 4: Simplify right side
    20,191.84x = 415,049,242.96
  5. Step 5: Solve for x
    x = 415,049,242.96/20,191.84
  6. Step 6: Final answer
    x = 20,555.30

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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.