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Finding the Fourth Proportional to 16,636.86, 24,918.84 and 7,845.12

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Solution

The fourth proportional to 16,636.86, 24,918.84 and 7,845.12 is: 11,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636.86 : 24,918.84 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    16,636.86/24,918.84 = 7,845.12/x
  3. Step 3: Cross multiply
    16,636.86x = 24,918.84 × 7,845.12
  4. Step 4: Simplify right side
    16,636.86x = 195,491,290.06
  5. Step 5: Solve for x
    x = 195,491,290.06/16,636.86
  6. Step 6: Final answer
    x = 11,750.49

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Why These Related Problems?

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