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Finding the Fourth Proportional to 20,584.14, 28,405.52 and 12,086.12

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Solution

The fourth proportional to 20,584.14, 28,405.52 and 12,086.12 is: 16,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.14 : 28,405.52 = 12,086.12 : x
  2. Step 2: Convert to fraction form
    20,584.14/28,405.52 = 12,086.12/x
  3. Step 3: Cross multiply
    20,584.14x = 28,405.52 × 12,086.12
  4. Step 4: Simplify right side
    20,584.14x = 343,312,523.38
  5. Step 5: Solve for x
    x = 343,312,523.38/20,584.14
  6. Step 6: Final answer
    x = 16,678.50

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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.