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Finding the Fourth Proportional to 22,116.84, 30,519.72 and 13,164.96

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Solution

The fourth proportional to 22,116.84, 30,519.72 and 13,164.96 is: 18,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,116.84 : 30,519.72 = 13,164.96 : x
  2. Step 2: Convert to fraction form
    22,116.84/30,519.72 = 13,164.96/x
  3. Step 3: Cross multiply
    22,116.84x = 30,519.72 × 13,164.96
  4. Step 4: Simplify right side
    22,116.84x = 401,790,893.01
  5. Step 5: Solve for x
    x = 401,790,893.01/22,116.84
  6. Step 6: Final answer
    x = 18,166.74

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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.