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Finding the Fourth Proportional to 24,549.36, 33,874.14 and 14,476.41

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Solution

The fourth proportional to 24,549.36, 33,874.14 and 14,476.41 is: 19,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.36 : 33,874.14 = 14,476.41 : x
  2. Step 2: Convert to fraction form
    24,549.36/33,874.14 = 14,476.41/x
  3. Step 3: Cross multiply
    24,549.36x = 33,874.14 × 14,476.41
  4. Step 4: Simplify right side
    24,549.36x = 490,375,939.04
  5. Step 5: Solve for x
    x = 490,375,939.04/24,549.36
  6. Step 6: Final answer
    x = 19,975.10

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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.