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Finding the Fourth Proportional to 16,144.93, 24,212.69 and 6,281.86

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Solution

The fourth proportional to 16,144.93, 24,212.69 and 6,281.86 is: 9,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.93 : 24,212.69 = 6,281.86 : x
  2. Step 2: Convert to fraction form
    16,144.93/24,212.69 = 6,281.86/x
  3. Step 3: Cross multiply
    16,144.93x = 24,212.69 × 6,281.86
  4. Step 4: Simplify right side
    16,144.93x = 152,100,728.80
  5. Step 5: Solve for x
    x = 152,100,728.80/16,144.93
  6. Step 6: Final answer
    x = 9,420.96

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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.