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Finding the Fourth Proportional to 12,181.64, 16,813.26 and 7,702.52

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Solution

The fourth proportional to 12,181.64, 16,813.26 and 7,702.52 is: 10,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.64 : 16,813.26 = 7,702.52 : x
  2. Step 2: Convert to fraction form
    12,181.64/16,813.26 = 7,702.52/x
  3. Step 3: Cross multiply
    12,181.64x = 16,813.26 × 7,702.52
  4. Step 4: Simplify right side
    12,181.64x = 129,504,471.42
  5. Step 5: Solve for x
    x = 129,504,471.42/12,181.64
  6. Step 6: Final answer
    x = 10,631.12

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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.