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Finding the Fourth Proportional to 24,376.68, 33,640.74 and 13,767.48

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Solution

The fourth proportional to 24,376.68, 33,640.74 and 13,767.48 is: 18,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.68 : 33,640.74 = 13,767.48 : x
  2. Step 2: Convert to fraction form
    24,376.68/33,640.74 = 13,767.48/x
  3. Step 3: Cross multiply
    24,376.68x = 33,640.74 × 13,767.48
  4. Step 4: Simplify right side
    24,376.68x = 463,148,215.14
  5. Step 5: Solve for x
    x = 463,148,215.14/24,376.68
  6. Step 6: Final answer
    x = 18,999.64

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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.