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Finding the Fourth Proportional to 19,768.35, 27,279.48 and 12,109.30

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Solution

The fourth proportional to 19,768.35, 27,279.48 and 12,109.30 is: 16,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.35 : 27,279.48 = 12,109.30 : x
  2. Step 2: Convert to fraction form
    19,768.35/27,279.48 = 12,109.30/x
  3. Step 3: Cross multiply
    19,768.35x = 27,279.48 × 12,109.30
  4. Step 4: Simplify right side
    19,768.35x = 330,335,384.38
  5. Step 5: Solve for x
    x = 330,335,384.38/19,768.35
  6. Step 6: Final answer
    x = 16,710.31

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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.