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Finding the Fourth Proportional to 12,348.72, 18,530.37 and 7,418.86

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Solution

The fourth proportional to 12,348.72, 18,530.37 and 7,418.86 is: 11,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.72 : 18,530.37 = 7,418.86 : x
  2. Step 2: Convert to fraction form
    12,348.72/18,530.37 = 7,418.86/x
  3. Step 3: Cross multiply
    12,348.72x = 18,530.37 × 7,418.86
  4. Step 4: Simplify right side
    12,348.72x = 137,474,174.45
  5. Step 5: Solve for x
    x = 137,474,174.45/12,348.72
  6. Step 6: Final answer
    x = 11,132.67

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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.