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Finding the Fourth Proportional to 13,696.49, 20,530.80 and 8,702.54

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Solution

The fourth proportional to 13,696.49, 20,530.80 and 8,702.54 is: 13,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.49 : 20,530.80 = 8,702.54 : x
  2. Step 2: Convert to fraction form
    13,696.49/20,530.80 = 8,702.54/x
  3. Step 3: Cross multiply
    13,696.49x = 20,530.80 × 8,702.54
  4. Step 4: Simplify right side
    13,696.49x = 178,670,082.57
  5. Step 5: Solve for x
    x = 178,670,082.57/13,696.49
  6. Step 6: Final answer
    x = 13,044.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.