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Finding the Fourth Proportional to 13,522.68, 18,640.13 and 12,436.47

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Solution

The fourth proportional to 13,522.68, 18,640.13 and 12,436.47 is: 17,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.68 : 18,640.13 = 12,436.47 : x
  2. Step 2: Convert to fraction form
    13,522.68/18,640.13 = 12,436.47/x
  3. Step 3: Cross multiply
    13,522.68x = 18,640.13 × 12,436.47
  4. Step 4: Simplify right side
    13,522.68x = 231,817,417.54
  5. Step 5: Solve for x
    x = 231,817,417.54/13,522.68
  6. Step 6: Final answer
    x = 17,142.86

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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.