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Finding the Fourth Proportional to 13,412.68, 18,511.62 and 12,822.04

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Solution

The fourth proportional to 13,412.68, 18,511.62 and 12,822.04 is: 17,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.68 : 18,511.62 = 12,822.04 : x
  2. Step 2: Convert to fraction form
    13,412.68/18,511.62 = 12,822.04/x
  3. Step 3: Cross multiply
    13,412.68x = 18,511.62 × 12,822.04
  4. Step 4: Simplify right side
    13,412.68x = 237,356,732.10
  5. Step 5: Solve for x
    x = 237,356,732.10/13,412.68
  6. Step 6: Final answer
    x = 17,696.44

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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.