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Finding the Fourth Proportional to 13,714.41, 18,927.23 and 8,336.38

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Solution

The fourth proportional to 13,714.41, 18,927.23 and 8,336.38 is: 11,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.41 : 18,927.23 = 8,336.38 : x
  2. Step 2: Convert to fraction form
    13,714.41/18,927.23 = 8,336.38/x
  3. Step 3: Cross multiply
    13,714.41x = 18,927.23 × 8,336.38
  4. Step 4: Simplify right side
    13,714.41x = 157,784,486.99
  5. Step 5: Solve for x
    x = 157,784,486.99/13,714.41
  6. Step 6: Final answer
    x = 11,505.01

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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.