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Finding the Fourth Proportional to 12,208.78, 16,846.95 and 9,696.97

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Solution

The fourth proportional to 12,208.78, 16,846.95 and 9,696.97 is: 13,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.78 : 16,846.95 = 9,696.97 : x
  2. Step 2: Convert to fraction form
    12,208.78/16,846.95 = 9,696.97/x
  3. Step 3: Cross multiply
    12,208.78x = 16,846.95 × 9,696.97
  4. Step 4: Simplify right side
    12,208.78x = 163,364,368.74
  5. Step 5: Solve for x
    x = 163,364,368.74/12,208.78
  6. Step 6: Final answer
    x = 13,380.89

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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.