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Finding the Fourth Proportional to 13,853.94, 20,874.43 and 11,442.77

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Solution

The fourth proportional to 13,853.94, 20,874.43 and 11,442.77 is: 17,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.94 : 20,874.43 = 11,442.77 : x
  2. Step 2: Convert to fraction form
    13,853.94/20,874.43 = 11,442.77/x
  3. Step 3: Cross multiply
    13,853.94x = 20,874.43 × 11,442.77
  4. Step 4: Simplify right side
    13,853.94x = 238,861,301.37
  5. Step 5: Solve for x
    x = 238,861,301.37/13,853.94
  6. Step 6: Final answer
    x = 17,241.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.