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Finding the Fourth Proportional to 22,164.47, 30,582.78 and 13,212.80

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Solution

The fourth proportional to 22,164.47, 30,582.78 and 13,212.80 is: 18,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.47 : 30,582.78 = 13,212.80 : x
  2. Step 2: Convert to fraction form
    22,164.47/30,582.78 = 13,212.80/x
  3. Step 3: Cross multiply
    22,164.47x = 30,582.78 × 13,212.80
  4. Step 4: Simplify right side
    22,164.47x = 404,084,314.16
  5. Step 5: Solve for x
    x = 404,084,314.16/22,164.47
  6. Step 6: Final answer
    x = 18,231.18

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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.