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Finding the Fourth Proportional to 24,914.84, 34,382.34 and 13,736.84

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Solution

The fourth proportional to 24,914.84, 34,382.34 and 13,736.84 is: 18,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.84 : 34,382.34 = 13,736.84 : x
  2. Step 2: Convert to fraction form
    24,914.84/34,382.34 = 13,736.84/x
  3. Step 3: Cross multiply
    24,914.84x = 34,382.34 × 13,736.84
  4. Step 4: Simplify right side
    24,914.84x = 472,304,703.41
  5. Step 5: Solve for x
    x = 472,304,703.41/24,914.84
  6. Step 6: Final answer
    x = 18,956.76

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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.