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Finding the Fourth Proportional to 24,568.21, 33,902.98 and 14,497.08

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Solution

The fourth proportional to 24,568.21, 33,902.98 and 14,497.08 is: 20,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.21 : 33,902.98 = 14,497.08 : x
  2. Step 2: Convert to fraction form
    24,568.21/33,902.98 = 14,497.08/x
  3. Step 3: Cross multiply
    24,568.21x = 33,902.98 × 14,497.08
  4. Step 4: Simplify right side
    24,568.21x = 491,494,213.30
  5. Step 5: Solve for x
    x = 491,494,213.30/24,568.21
  6. Step 6: Final answer
    x = 20,005.29

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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.