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Finding the Fourth Proportional to 12,827.36, 17,696.40 and 8,636.96

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Solution

The fourth proportional to 12,827.36, 17,696.40 and 8,636.96 is: 11,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.36 : 17,696.40 = 8,636.96 : x
  2. Step 2: Convert to fraction form
    12,827.36/17,696.40 = 8,636.96/x
  3. Step 3: Cross multiply
    12,827.36x = 17,696.40 × 8,636.96
  4. Step 4: Simplify right side
    12,827.36x = 152,843,098.94
  5. Step 5: Solve for x
    x = 152,843,098.94/12,827.36
  6. Step 6: Final answer
    x = 11,915.40

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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.