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Finding the Fourth Proportional to 14,354.22, 19,814.23 and 8,387.82

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Solution

The fourth proportional to 14,354.22, 19,814.23 and 8,387.82 is: 11,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.22 : 19,814.23 = 8,387.82 : x
  2. Step 2: Convert to fraction form
    14,354.22/19,814.23 = 8,387.82/x
  3. Step 3: Cross multiply
    14,354.22x = 19,814.23 × 8,387.82
  4. Step 4: Simplify right side
    14,354.22x = 166,198,279.47
  5. Step 5: Solve for x
    x = 166,198,279.47/14,354.22
  6. Step 6: Final answer
    x = 11,578.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.