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Finding the Fourth Proportional to 12,196.34, 16,829.34 and 7,712.18

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Solution

The fourth proportional to 12,196.34, 16,829.34 and 7,712.18 is: 10,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.34 : 16,829.34 = 7,712.18 : x
  2. Step 2: Convert to fraction form
    12,196.34/16,829.34 = 7,712.18/x
  3. Step 3: Cross multiply
    12,196.34x = 16,829.34 × 7,712.18
  4. Step 4: Simplify right side
    12,196.34x = 129,790,899.36
  5. Step 5: Solve for x
    x = 129,790,899.36/12,196.34
  6. Step 6: Final answer
    x = 10,641.79

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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.