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Finding the Fourth Proportional to 24,900.14, 37,357.53 and 7,370.43

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Solution

The fourth proportional to 24,900.14, 37,357.53 and 7,370.43 is: 11,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900.14 : 37,357.53 = 7,370.43 : x
  2. Step 2: Convert to fraction form
    24,900.14/37,357.53 = 7,370.43/x
  3. Step 3: Cross multiply
    24,900.14x = 37,357.53 × 7,370.43
  4. Step 4: Simplify right side
    24,900.14x = 275,341,059.84
  5. Step 5: Solve for x
    x = 275,341,059.84/24,900.14
  6. Step 6: Final answer
    x = 11,057.81

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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.