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Finding the Fourth Proportional to 16,578.35, 22,880.10 and 9,504.75

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Solution

The fourth proportional to 16,578.35, 22,880.10 and 9,504.75 is: 13,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.35 : 22,880.10 = 9,504.75 : x
  2. Step 2: Convert to fraction form
    16,578.35/22,880.10 = 9,504.75/x
  3. Step 3: Cross multiply
    16,578.35x = 22,880.10 × 9,504.75
  4. Step 4: Simplify right side
    16,578.35x = 217,469,630.48
  5. Step 5: Solve for x
    x = 217,469,630.48/16,578.35
  6. Step 6: Final answer
    x = 13,117.69

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