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Finding the Fourth Proportional to 13,696.88, 20,446.24 and 12,036.13

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Solution

The fourth proportional to 13,696.88, 20,446.24 and 12,036.13 is: 17,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.88 : 20,446.24 = 12,036.13 : x
  2. Step 2: Convert to fraction form
    13,696.88/20,446.24 = 12,036.13/x
  3. Step 3: Cross multiply
    13,696.88x = 20,446.24 × 12,036.13
  4. Step 4: Simplify right side
    13,696.88x = 246,093,602.65
  5. Step 5: Solve for x
    x = 246,093,602.65/13,696.88
  6. Step 6: Final answer
    x = 17,967.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.