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Finding the Fourth Proportional to 12,196.54, 16,811.76 and 9,954.57

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Solution

The fourth proportional to 12,196.54, 16,811.76 and 9,954.57 is: 13,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.54 : 16,811.76 = 9,954.57 : x
  2. Step 2: Convert to fraction form
    12,196.54/16,811.76 = 9,954.57/x
  3. Step 3: Cross multiply
    12,196.54x = 16,811.76 × 9,954.57
  4. Step 4: Simplify right side
    12,196.54x = 167,353,841.74
  5. Step 5: Solve for x
    x = 167,353,841.74/12,196.54
  6. Step 6: Final answer
    x = 13,721.42

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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.