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Finding the Fourth Proportional to 20,131.76, 27,784.38 and 12,174.04

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Solution

The fourth proportional to 20,131.76, 27,784.38 and 12,174.04 is: 16,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.76 : 27,784.38 = 12,174.04 : x
  2. Step 2: Convert to fraction form
    20,131.76/27,784.38 = 12,174.04/x
  3. Step 3: Cross multiply
    20,131.76x = 27,784.38 × 12,174.04
  4. Step 4: Simplify right side
    20,131.76x = 338,248,153.50
  5. Step 5: Solve for x
    x = 338,248,153.50/20,131.76
  6. Step 6: Final answer
    x = 16,801.72

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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.