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Finding the Fourth Proportional to 19,677.38, 27,131.14 and 16,079.04

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Solution

The fourth proportional to 19,677.38, 27,131.14 and 16,079.04 is: 22,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.38 : 27,131.14 = 16,079.04 : x
  2. Step 2: Convert to fraction form
    19,677.38/27,131.14 = 16,079.04/x
  3. Step 3: Cross multiply
    19,677.38x = 27,131.14 × 16,079.04
  4. Step 4: Simplify right side
    19,677.38x = 436,242,685.31
  5. Step 5: Solve for x
    x = 436,242,685.31/19,677.38
  6. Step 6: Final answer
    x = 22,169.75

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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.