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Finding the Fourth Proportional to 16,951.84, 25,424.40 and 13,684

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Solution

The fourth proportional to 16,951.84, 25,424.40 and 13,684 is: 20,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.84 : 25,424.40 = 13,684 : x
  2. Step 2: Convert to fraction form
    16,951.84/25,424.40 = 13,684/x
  3. Step 3: Cross multiply
    16,951.84x = 25,424.40 × 13,684
  4. Step 4: Simplify right side
    16,951.84x = 347,907,489.60
  5. Step 5: Solve for x
    x = 347,907,489.60/16,951.84
  6. Step 6: Final answer
    x = 20,523.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.