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Finding the Fourth Proportional to 22,164.30, 30,582.55 and 13,212.64

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Solution

The fourth proportional to 22,164.30, 30,582.55 and 13,212.64 is: 18,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.30 : 30,582.55 = 13,212.64 : x
  2. Step 2: Convert to fraction form
    22,164.30/30,582.55 = 13,212.64/x
  3. Step 3: Cross multiply
    22,164.30x = 30,582.55 × 13,212.64
  4. Step 4: Simplify right side
    22,164.30x = 404,076,223.43
  5. Step 5: Solve for x
    x = 404,076,223.43/22,164.30
  6. Step 6: Final answer
    x = 18,230.95

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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.