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Finding the Fourth Proportional to 15,058.44, 20,780.38 and 8,344.05

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Solution

The fourth proportional to 15,058.44, 20,780.38 and 8,344.05 is: 11,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058.44 : 20,780.38 = 8,344.05 : x
  2. Step 2: Convert to fraction form
    15,058.44/20,780.38 = 8,344.05/x
  3. Step 3: Cross multiply
    15,058.44x = 20,780.38 × 8,344.05
  4. Step 4: Simplify right side
    15,058.44x = 173,392,529.74
  5. Step 5: Solve for x
    x = 173,392,529.74/15,058.44
  6. Step 6: Final answer
    x = 11,514.64

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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.