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Finding the Fourth Proportional to 12,185.48, 16,815.82 and 6,880.52

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Solution

The fourth proportional to 12,185.48, 16,815.82 and 6,880.52 is: 9,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.48 : 16,815.82 = 6,880.52 : x
  2. Step 2: Convert to fraction form
    12,185.48/16,815.82 = 6,880.52/x
  3. Step 3: Cross multiply
    12,185.48x = 16,815.82 × 6,880.52
  4. Step 4: Simplify right side
    12,185.48x = 115,701,585.83
  5. Step 5: Solve for x
    x = 115,701,585.83/12,185.48
  6. Step 6: Final answer
    x = 9,495.04

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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.