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Finding the Fourth Proportional to 20,626.32, 28,464 and 12,129.42

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Solution

The fourth proportional to 20,626.32, 28,464 and 12,129.42 is: 16,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,626.32 : 28,464 = 12,129.42 : x
  2. Step 2: Convert to fraction form
    20,626.32/28,464 = 12,129.42/x
  3. Step 3: Cross multiply
    20,626.32x = 28,464 × 12,129.42
  4. Step 4: Simplify right side
    20,626.32x = 345,251,810.88
  5. Step 5: Solve for x
    x = 345,251,810.88/20,626.32
  6. Step 6: Final answer
    x = 16,738.41

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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.