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Finding the Fourth Proportional to 24,991.38, 37,460.94 and 11,828.10

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Solution

The fourth proportional to 24,991.38, 37,460.94 and 11,828.10 is: 17,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,991.38 : 37,460.94 = 11,828.10 : x
  2. Step 2: Convert to fraction form
    24,991.38/37,460.94 = 11,828.10/x
  3. Step 3: Cross multiply
    24,991.38x = 37,460.94 × 11,828.10
  4. Step 4: Simplify right side
    24,991.38x = 443,091,744.41
  5. Step 5: Solve for x
    x = 443,091,744.41/24,991.38
  6. Step 6: Final answer
    x = 17,729.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.