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Finding the Fourth Proportional to 24,381.29, 33,642.09 and 14,819.54

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Solution

The fourth proportional to 24,381.29, 33,642.09 and 14,819.54 is: 20,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.29 : 33,642.09 = 14,819.54 : x
  2. Step 2: Convert to fraction form
    24,381.29/33,642.09 = 14,819.54/x
  3. Step 3: Cross multiply
    24,381.29x = 33,642.09 × 14,819.54
  4. Step 4: Simplify right side
    24,381.29x = 498,560,130.23
  5. Step 5: Solve for x
    x = 498,560,130.23/24,381.29
  6. Step 6: Final answer
    x = 20,448.47

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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.