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Finding the Fourth Proportional to 27,645.74, 38,149.62 and 15,707.42

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Solution

The fourth proportional to 27,645.74, 38,149.62 and 15,707.42 is: 21,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.74 : 38,149.62 = 15,707.42 : x
  2. Step 2: Convert to fraction form
    27,645.74/38,149.62 = 15,707.42/x
  3. Step 3: Cross multiply
    27,645.74x = 38,149.62 × 15,707.42
  4. Step 4: Simplify right side
    27,645.74x = 599,232,104.18
  5. Step 5: Solve for x
    x = 599,232,104.18/27,645.74
  6. Step 6: Final answer
    x = 21,675.39

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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.