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Finding the Fourth Proportional to 20,160.90, 27,816.21 and 13,782.15

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Solution

The fourth proportional to 20,160.90, 27,816.21 and 13,782.15 is: 19,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.90 : 27,816.21 = 13,782.15 : x
  2. Step 2: Convert to fraction form
    20,160.90/27,816.21 = 13,782.15/x
  3. Step 3: Cross multiply
    20,160.90x = 27,816.21 × 13,782.15
  4. Step 4: Simplify right side
    20,160.90x = 383,367,178.65
  5. Step 5: Solve for x
    x = 383,367,178.65/20,160.90
  6. Step 6: Final answer
    x = 19,015.38

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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.