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Finding the Fourth Proportional to 18,668, 25,761.84 and 10,284.68

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Solution

The fourth proportional to 18,668, 25,761.84 and 10,284.68 is: 14,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668 : 25,761.84 = 10,284.68 : x
  2. Step 2: Convert to fraction form
    18,668/25,761.84 = 10,284.68/x
  3. Step 3: Cross multiply
    18,668x = 25,761.84 × 10,284.68
  4. Step 4: Simplify right side
    18,668x = 264,952,280.61
  5. Step 5: Solve for x
    x = 264,952,280.61/18,668
  6. Step 6: Final answer
    x = 14,192.86

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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.