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Finding the Fourth Proportional to 16,344.69, 24,506.96 and 6,979.47

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Solution

The fourth proportional to 16,344.69, 24,506.96 and 6,979.47 is: 10,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.69 : 24,506.96 = 6,979.47 : x
  2. Step 2: Convert to fraction form
    16,344.69/24,506.96 = 6,979.47/x
  3. Step 3: Cross multiply
    16,344.69x = 24,506.96 × 6,979.47
  4. Step 4: Simplify right side
    16,344.69x = 171,045,465.31
  5. Step 5: Solve for x
    x = 171,045,465.31/16,344.69
  6. Step 6: Final answer
    x = 10,464.90

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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.