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Finding the Fourth Proportional to 19,589.72, 27,047.87 and 12,046.19

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Solution

The fourth proportional to 19,589.72, 27,047.87 and 12,046.19 is: 16,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.72 : 27,047.87 = 12,046.19 : x
  2. Step 2: Convert to fraction form
    19,589.72/27,047.87 = 12,046.19/x
  3. Step 3: Cross multiply
    19,589.72x = 27,047.87 × 12,046.19
  4. Step 4: Simplify right side
    19,589.72x = 325,823,698.58
  5. Step 5: Solve for x
    x = 325,823,698.58/19,589.72
  6. Step 6: Final answer
    x = 16,632.39

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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.