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Finding the Fourth Proportional to 13,857.30, 20,879.52 and 11,446.14

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Solution

The fourth proportional to 13,857.30, 20,879.52 and 11,446.14 is: 17,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.30 : 20,879.52 = 11,446.14 : x
  2. Step 2: Convert to fraction form
    13,857.30/20,879.52 = 11,446.14/x
  3. Step 3: Cross multiply
    13,857.30x = 20,879.52 × 11,446.14
  4. Step 4: Simplify right side
    13,857.30x = 238,989,909.05
  5. Step 5: Solve for x
    x = 238,989,909.05/13,857.30
  6. Step 6: Final answer
    x = 17,246.50

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Why These Related Problems?

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