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Finding the Fourth Proportional to 24,550.28, 33,878.22 and 13,938.50

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Solution

The fourth proportional to 24,550.28, 33,878.22 and 13,938.50 is: 19,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550.28 : 33,878.22 = 13,938.50 : x
  2. Step 2: Convert to fraction form
    24,550.28/33,878.22 = 13,938.50/x
  3. Step 3: Cross multiply
    24,550.28x = 33,878.22 × 13,938.50
  4. Step 4: Simplify right side
    24,550.28x = 472,211,569.47
  5. Step 5: Solve for x
    x = 472,211,569.47/24,550.28
  6. Step 6: Final answer
    x = 19,234.47

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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.