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Finding the Fourth Proportional to 17,714.58, 26,571.78 and 4,565.82

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Solution

The fourth proportional to 17,714.58, 26,571.78 and 4,565.82 is: 6,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.58 : 26,571.78 = 4,565.82 : x
  2. Step 2: Convert to fraction form
    17,714.58/26,571.78 = 4,565.82/x
  3. Step 3: Cross multiply
    17,714.58x = 26,571.78 × 4,565.82
  4. Step 4: Simplify right side
    17,714.58x = 121,321,964.56
  5. Step 5: Solve for x
    x = 121,321,964.56/17,714.58
  6. Step 6: Final answer
    x = 6,848.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.