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Finding the Fourth Proportional to 24,416.48, 33,694.68 and 13,238.48

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Solution

The fourth proportional to 24,416.48, 33,694.68 and 13,238.48 is: 18,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.48 : 33,694.68 = 13,238.48 : x
  2. Step 2: Convert to fraction form
    24,416.48/33,694.68 = 13,238.48/x
  3. Step 3: Cross multiply
    24,416.48x = 33,694.68 × 13,238.48
  4. Step 4: Simplify right side
    24,416.48x = 446,066,347.29
  5. Step 5: Solve for x
    x = 446,066,347.29/24,416.48
  6. Step 6: Final answer
    x = 18,269.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.