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Finding the Fourth Proportional to 19,222.38, 28,830.96 and 7,543.80

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Solution

The fourth proportional to 19,222.38, 28,830.96 and 7,543.80 is: 11,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.38 : 28,830.96 = 7,543.80 : x
  2. Step 2: Convert to fraction form
    19,222.38/28,830.96 = 7,543.80/x
  3. Step 3: Cross multiply
    19,222.38x = 28,830.96 × 7,543.80
  4. Step 4: Simplify right side
    19,222.38x = 217,494,996.05
  5. Step 5: Solve for x
    x = 217,494,996.05/19,222.38
  6. Step 6: Final answer
    x = 11,314.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.