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Finding the Fourth Proportional to 12,196.98, 16,825.64 and 7,713.18

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Solution

The fourth proportional to 12,196.98, 16,825.64 and 7,713.18 is: 10,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.98 : 16,825.64 = 7,713.18 : x
  2. Step 2: Convert to fraction form
    12,196.98/16,825.64 = 7,713.18/x
  3. Step 3: Cross multiply
    12,196.98x = 16,825.64 × 7,713.18
  4. Step 4: Simplify right side
    12,196.98x = 129,779,189.94
  5. Step 5: Solve for x
    x = 129,779,189.94/12,196.98
  6. Step 6: Final answer
    x = 10,640.27

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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.