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Finding the Fourth Proportional to 12,267.72, 18,357.66 and 11,443.86

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Solution

The fourth proportional to 12,267.72, 18,357.66 and 11,443.86 is: 17,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.72 : 18,357.66 = 11,443.86 : x
  2. Step 2: Convert to fraction form
    12,267.72/18,357.66 = 11,443.86/x
  3. Step 3: Cross multiply
    12,267.72x = 18,357.66 × 11,443.86
  4. Step 4: Simplify right side
    12,267.72x = 210,082,490.97
  5. Step 5: Solve for x
    x = 210,082,490.97/12,267.72
  6. Step 6: Final answer
    x = 17,124.82

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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.