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Finding the Fourth Proportional to 19,626, 27,083.88 and 11,242.56

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Solution

The fourth proportional to 19,626, 27,083.88 and 11,242.56 is: 15,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,626 : 27,083.88 = 11,242.56 : x
  2. Step 2: Convert to fraction form
    19,626/27,083.88 = 11,242.56/x
  3. Step 3: Cross multiply
    19,626x = 27,083.88 × 11,242.56
  4. Step 4: Simplify right side
    19,626x = 304,492,145.93
  5. Step 5: Solve for x
    x = 304,492,145.93/19,626
  6. Step 6: Final answer
    x = 15,514.73

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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.