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Finding the Fourth Proportional to 19,687.80, 27,169.20 and 10,735.38

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Solution

The fourth proportional to 19,687.80, 27,169.20 and 10,735.38 is: 14,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.80 : 27,169.20 = 10,735.38 : x
  2. Step 2: Convert to fraction form
    19,687.80/27,169.20 = 10,735.38/x
  3. Step 3: Cross multiply
    19,687.80x = 27,169.20 × 10,735.38
  4. Step 4: Simplify right side
    19,687.80x = 291,671,686.30
  5. Step 5: Solve for x
    x = 291,671,686.30/19,687.80
  6. Step 6: Final answer
    x = 14,814.84

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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.