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Finding the Fourth Proportional to 16,578.86, 22,880.79 and 9,505.26

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Solution

The fourth proportional to 16,578.86, 22,880.79 and 9,505.26 is: 13,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.86 : 22,880.79 = 9,505.26 : x
  2. Step 2: Convert to fraction form
    16,578.86/22,880.79 = 9,505.26/x
  3. Step 3: Cross multiply
    16,578.86x = 22,880.79 × 9,505.26
  4. Step 4: Simplify right side
    16,578.86x = 217,487,857.96
  5. Step 5: Solve for x
    x = 217,487,857.96/16,578.86
  6. Step 6: Final answer
    x = 13,118.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.