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Finding the Fourth Proportional to 14,257, 19,674.66 and 8,668

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Solution

The fourth proportional to 14,257, 19,674.66 and 8,668 is: 11,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257 : 19,674.66 = 8,668 : x
  2. Step 2: Convert to fraction form
    14,257/19,674.66 = 8,668/x
  3. Step 3: Cross multiply
    14,257x = 19,674.66 × 8,668
  4. Step 4: Simplify right side
    14,257x = 170,539,952.88
  5. Step 5: Solve for x
    x = 170,539,952.88/14,257
  6. Step 6: Final answer
    x = 11,961.84

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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.