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Finding the Fourth Proportional to 24,838.70, 34,278.24 and 14,083.44

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Solution

The fourth proportional to 24,838.70, 34,278.24 and 14,083.44 is: 19,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.70 : 34,278.24 = 14,083.44 : x
  2. Step 2: Convert to fraction form
    24,838.70/34,278.24 = 14,083.44/x
  3. Step 3: Cross multiply
    24,838.70x = 34,278.24 × 14,083.44
  4. Step 4: Simplify right side
    24,838.70x = 482,755,536.35
  5. Step 5: Solve for x
    x = 482,755,536.35/24,838.70
  6. Step 6: Final answer
    x = 19,435.62

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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.