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Finding the Fourth Proportional to 16,514.86, 24,757.71 and 12,636.58

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Solution

The fourth proportional to 16,514.86, 24,757.71 and 12,636.58 is: 18,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.86 : 24,757.71 = 12,636.58 : x
  2. Step 2: Convert to fraction form
    16,514.86/24,757.71 = 12,636.58/x
  3. Step 3: Cross multiply
    16,514.86x = 24,757.71 × 12,636.58
  4. Step 4: Simplify right side
    16,514.86x = 312,852,783.03
  5. Step 5: Solve for x
    x = 312,852,783.03/16,514.86
  6. Step 6: Final answer
    x = 18,943.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.