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Finding the Fourth Proportional to 16,514.84, 22,777.74 and 11,478.96

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Solution

The fourth proportional to 16,514.84, 22,777.74 and 11,478.96 is: 15,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.84 : 22,777.74 = 11,478.96 : x
  2. Step 2: Convert to fraction form
    16,514.84/22,777.74 = 11,478.96/x
  3. Step 3: Cross multiply
    16,514.84x = 22,777.74 × 11,478.96
  4. Step 4: Simplify right side
    16,514.84x = 261,464,766.35
  5. Step 5: Solve for x
    x = 261,464,766.35/16,514.84
  6. Step 6: Final answer
    x = 15,832.11

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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.