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Finding the Fourth Proportional to 14,138.73, 19,505.75 and 8,540.01

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Solution

The fourth proportional to 14,138.73, 19,505.75 and 8,540.01 is: 11,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.73 : 19,505.75 = 8,540.01 : x
  2. Step 2: Convert to fraction form
    14,138.73/19,505.75 = 8,540.01/x
  3. Step 3: Cross multiply
    14,138.73x = 19,505.75 × 8,540.01
  4. Step 4: Simplify right side
    14,138.73x = 166,579,257.36
  5. Step 5: Solve for x
    x = 166,579,257.36/14,138.73
  6. Step 6: Final answer
    x = 11,781.77

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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.