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Finding the Fourth Proportional to 13,537.80, 18,696.42 and 10,362.60

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Solution

The fourth proportional to 13,537.80, 18,696.42 and 10,362.60 is: 14,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.80 : 18,696.42 = 10,362.60 : x
  2. Step 2: Convert to fraction form
    13,537.80/18,696.42 = 10,362.60/x
  3. Step 3: Cross multiply
    13,537.80x = 18,696.42 × 10,362.60
  4. Step 4: Simplify right side
    13,537.80x = 193,743,521.89
  5. Step 5: Solve for x
    x = 193,743,521.89/13,537.80
  6. Step 6: Final answer
    x = 14,311.30

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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.