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Finding the Fourth Proportional to 16,865.40, 25,297.17 and 5,178.62

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Solution

The fourth proportional to 16,865.40, 25,297.17 and 5,178.62 is: 7,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.40 : 25,297.17 = 5,178.62 : x
  2. Step 2: Convert to fraction form
    16,865.40/25,297.17 = 5,178.62/x
  3. Step 3: Cross multiply
    16,865.40x = 25,297.17 × 5,178.62
  4. Step 4: Simplify right side
    16,865.40x = 131,004,304.02
  5. Step 5: Solve for x
    x = 131,004,304.02/16,865.40
  6. Step 6: Final answer
    x = 7,767.64

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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.