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Finding the Fourth Proportional to 24,858.38, 37,286.81 and 6,138.57

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Solution

The fourth proportional to 24,858.38, 37,286.81 and 6,138.57 is: 9,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.38 : 37,286.81 = 6,138.57 : x
  2. Step 2: Convert to fraction form
    24,858.38/37,286.81 = 6,138.57/x
  3. Step 3: Cross multiply
    24,858.38x = 37,286.81 × 6,138.57
  4. Step 4: Simplify right side
    24,858.38x = 228,887,693.26
  5. Step 5: Solve for x
    x = 228,887,693.26/24,858.38
  6. Step 6: Final answer
    x = 9,207.67

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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.