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Finding the Fourth Proportional to 27,219.35, 40,828.65 and 13,180.63

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Solution

The fourth proportional to 27,219.35, 40,828.65 and 13,180.63 is: 19,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.35 : 40,828.65 = 13,180.63 : x
  2. Step 2: Convert to fraction form
    27,219.35/40,828.65 = 13,180.63/x
  3. Step 3: Cross multiply
    27,219.35x = 40,828.65 × 13,180.63
  4. Step 4: Simplify right side
    27,219.35x = 538,147,329.05
  5. Step 5: Solve for x
    x = 538,147,329.05/27,219.35
  6. Step 6: Final answer
    x = 19,770.76

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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.