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Finding the Fourth Proportional to 24,515.86, 33,838.84 and 14,450.14

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Solution

The fourth proportional to 24,515.86, 33,838.84 and 14,450.14 is: 19,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.86 : 33,838.84 = 14,450.14 : x
  2. Step 2: Convert to fraction form
    24,515.86/33,838.84 = 14,450.14/x
  3. Step 3: Cross multiply
    24,515.86x = 33,838.84 × 14,450.14
  4. Step 4: Simplify right side
    24,515.86x = 488,975,975.44
  5. Step 5: Solve for x
    x = 488,975,975.44/24,515.86
  6. Step 6: Final answer
    x = 19,945.29

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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.