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Finding the Fourth Proportional to 22,164.86, 30,590.46 and 14,099.30

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Solution

The fourth proportional to 22,164.86, 30,590.46 and 14,099.30 is: 19,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.86 : 30,590.46 = 14,099.30 : x
  2. Step 2: Convert to fraction form
    22,164.86/30,590.46 = 14,099.30/x
  3. Step 3: Cross multiply
    22,164.86x = 30,590.46 × 14,099.30
  4. Step 4: Simplify right side
    22,164.86x = 431,304,072.68
  5. Step 5: Solve for x
    x = 431,304,072.68/22,164.86
  6. Step 6: Final answer
    x = 19,458.91

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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.