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Finding the Fourth Proportional to 27,287.84, 40,947.45 and 11,491.63

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Solution

The fourth proportional to 27,287.84, 40,947.45 and 11,491.63 is: 17,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.84 : 40,947.45 = 11,491.63 : x
  2. Step 2: Convert to fraction form
    27,287.84/40,947.45 = 11,491.63/x
  3. Step 3: Cross multiply
    27,287.84x = 40,947.45 × 11,491.63
  4. Step 4: Simplify right side
    27,287.84x = 470,552,740.11
  5. Step 5: Solve for x
    x = 470,552,740.11/27,287.84
  6. Step 6: Final answer
    x = 17,244.04

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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.