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Finding the Fourth Proportional to 18,923.88, 28,399 and 7,830.62

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Solution

The fourth proportional to 18,923.88, 28,399 and 7,830.62 is: 11,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923.88 : 28,399 = 7,830.62 : x
  2. Step 2: Convert to fraction form
    18,923.88/28,399 = 7,830.62/x
  3. Step 3: Cross multiply
    18,923.88x = 28,399 × 7,830.62
  4. Step 4: Simplify right side
    18,923.88x = 222,381,777.38
  5. Step 5: Solve for x
    x = 222,381,777.38/18,923.88
  6. Step 6: Final answer
    x = 11,751.38

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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.