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Finding the Fourth Proportional to 24,902.84, 34,366.05 and 13,724.84

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Solution

The fourth proportional to 24,902.84, 34,366.05 and 13,724.84 is: 18,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.84 : 34,366.05 = 13,724.84 : x
  2. Step 2: Convert to fraction form
    24,902.84/34,366.05 = 13,724.84/x
  3. Step 3: Cross multiply
    24,902.84x = 34,366.05 × 13,724.84
  4. Step 4: Simplify right side
    24,902.84x = 471,668,537.68
  5. Step 5: Solve for x
    x = 471,668,537.68/24,902.84
  6. Step 6: Final answer
    x = 18,940.35

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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.