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Finding the Fourth Proportional to 27,464.70, 41,197.05 and 12,669.24

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Solution

The fourth proportional to 27,464.70, 41,197.05 and 12,669.24 is: 19,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464.70 : 41,197.05 = 12,669.24 : x
  2. Step 2: Convert to fraction form
    27,464.70/41,197.05 = 12,669.24/x
  3. Step 3: Cross multiply
    27,464.70x = 41,197.05 × 12,669.24
  4. Step 4: Simplify right side
    27,464.70x = 521,935,313.74
  5. Step 5: Solve for x
    x = 521,935,313.74/27,464.70
  6. Step 6: Final answer
    x = 19,003.86

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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.