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Finding the Fourth Proportional to 13,879.20, 19,154.01 and 8,217.21

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Solution

The fourth proportional to 13,879.20, 19,154.01 and 8,217.21 is: 11,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.20 : 19,154.01 = 8,217.21 : x
  2. Step 2: Convert to fraction form
    13,879.20/19,154.01 = 8,217.21/x
  3. Step 3: Cross multiply
    13,879.20x = 19,154.01 × 8,217.21
  4. Step 4: Simplify right side
    13,879.20x = 157,392,522.51
  5. Step 5: Solve for x
    x = 157,392,522.51/13,879.20
  6. Step 6: Final answer
    x = 11,340.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.