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Finding the Fourth Proportional to 19,684.32, 27,166.49 and 12,129.04

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Solution

The fourth proportional to 19,684.32, 27,166.49 and 12,129.04 is: 16,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.32 : 27,166.49 = 12,129.04 : x
  2. Step 2: Convert to fraction form
    19,684.32/27,166.49 = 12,129.04/x
  3. Step 3: Cross multiply
    19,684.32x = 27,166.49 × 12,129.04
  4. Step 4: Simplify right side
    19,684.32x = 329,503,443.87
  5. Step 5: Solve for x
    x = 329,503,443.87/19,684.32
  6. Step 6: Final answer
    x = 16,739.39

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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.