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Finding the Fourth Proportional to 19,693.28, 29,540.08 and 13,876

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Solution

The fourth proportional to 19,693.28, 29,540.08 and 13,876 is: 20,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.28 : 29,540.08 = 13,876 : x
  2. Step 2: Convert to fraction form
    19,693.28/29,540.08 = 13,876/x
  3. Step 3: Cross multiply
    19,693.28x = 29,540.08 × 13,876
  4. Step 4: Simplify right side
    19,693.28x = 409,898,150.08
  5. Step 5: Solve for x
    x = 409,898,150.08/19,693.28
  6. Step 6: Final answer
    x = 20,814.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.