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Finding the Fourth Proportional to 19,588.38, 27,029.34 and 12,509.79

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Solution

The fourth proportional to 19,588.38, 27,029.34 and 12,509.79 is: 17,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.38 : 27,029.34 = 12,509.79 : x
  2. Step 2: Convert to fraction form
    19,588.38/27,029.34 = 12,509.79/x
  3. Step 3: Cross multiply
    19,588.38x = 27,029.34 × 12,509.79
  4. Step 4: Simplify right side
    19,588.38x = 338,131,367.24
  5. Step 5: Solve for x
    x = 338,131,367.24/19,588.38
  6. Step 6: Final answer
    x = 17,261.83

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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.