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Finding the Fourth Proportional to 24,849, 37,273.20 and 10,057.80

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Solution

The fourth proportional to 24,849, 37,273.20 and 10,057.80 is: 15,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849 : 37,273.20 = 10,057.80 : x
  2. Step 2: Convert to fraction form
    24,849/37,273.20 = 10,057.80/x
  3. Step 3: Cross multiply
    24,849x = 37,273.20 × 10,057.80
  4. Step 4: Simplify right side
    24,849x = 374,886,390.96
  5. Step 5: Solve for x
    x = 374,886,390.96/24,849
  6. Step 6: Final answer
    x = 15,086.58

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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.