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Finding the Fourth Proportional to 16,249.14, 24,354.27 and 9,999.18

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Solution

The fourth proportional to 16,249.14, 24,354.27 and 9,999.18 is: 14,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.14 : 24,354.27 = 9,999.18 : x
  2. Step 2: Convert to fraction form
    16,249.14/24,354.27 = 9,999.18/x
  3. Step 3: Cross multiply
    16,249.14x = 24,354.27 × 9,999.18
  4. Step 4: Simplify right side
    16,249.14x = 243,522,729.50
  5. Step 5: Solve for x
    x = 243,522,729.50/16,249.14
  6. Step 6: Final answer
    x = 14,986.81

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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.