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Finding the Fourth Proportional to 16,245.94, 24,369.78 and 5,153.47

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Solution

The fourth proportional to 16,245.94, 24,369.78 and 5,153.47 is: 7,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.94 : 24,369.78 = 5,153.47 : x
  2. Step 2: Convert to fraction form
    16,245.94/24,369.78 = 5,153.47/x
  3. Step 3: Cross multiply
    16,245.94x = 24,369.78 × 5,153.47
  4. Step 4: Simplify right side
    16,245.94x = 125,588,930.14
  5. Step 5: Solve for x
    x = 125,588,930.14/16,245.94
  6. Step 6: Final answer
    x = 7,730.48

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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.