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Finding the Fourth Proportional to 13,616.17, 20,322.77 and 13,284.07

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Solution

The fourth proportional to 13,616.17, 20,322.77 and 13,284.07 is: 19,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.17 : 20,322.77 = 13,284.07 : x
  2. Step 2: Convert to fraction form
    13,616.17/20,322.77 = 13,284.07/x
  3. Step 3: Cross multiply
    13,616.17x = 20,322.77 × 13,284.07
  4. Step 4: Simplify right side
    13,616.17x = 269,968,982.05
  5. Step 5: Solve for x
    x = 269,968,982.05/13,616.17
  6. Step 6: Final answer
    x = 19,827.09

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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.