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Finding the Fourth Proportional to 16,314.21, 22,514.22 and 9,046.49

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Solution

The fourth proportional to 16,314.21, 22,514.22 and 9,046.49 is: 12,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.21 : 22,514.22 = 9,046.49 : x
  2. Step 2: Convert to fraction form
    16,314.21/22,514.22 = 9,046.49/x
  3. Step 3: Cross multiply
    16,314.21x = 22,514.22 × 9,046.49
  4. Step 4: Simplify right side
    16,314.21x = 203,674,553.52
  5. Step 5: Solve for x
    x = 203,674,553.52/16,314.21
  6. Step 6: Final answer
    x = 12,484.49

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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.