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Finding the Fourth Proportional to 13,858.25, 20,787.38 and 5,541.98

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Solution

The fourth proportional to 13,858.25, 20,787.38 and 5,541.98 is: 8,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.25 : 20,787.38 = 5,541.98 : x
  2. Step 2: Convert to fraction form
    13,858.25/20,787.38 = 5,541.98/x
  3. Step 3: Cross multiply
    13,858.25x = 20,787.38 × 5,541.98
  4. Step 4: Simplify right side
    13,858.25x = 115,203,244.21
  5. Step 5: Solve for x
    x = 115,203,244.21/13,858.25
  6. Step 6: Final answer
    x = 8,312.97

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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.