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Finding the Fourth Proportional to 16,640, 24,960.58 and 5,395.08

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Solution

The fourth proportional to 16,640, 24,960.58 and 5,395.08 is: 8,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640 : 24,960.58 = 5,395.08 : x
  2. Step 2: Convert to fraction form
    16,640/24,960.58 = 5,395.08/x
  3. Step 3: Cross multiply
    16,640x = 24,960.58 × 5,395.08
  4. Step 4: Simplify right side
    16,640x = 134,664,325.95
  5. Step 5: Solve for x
    x = 134,664,325.95/16,640
  6. Step 6: Final answer
    x = 8,092.81

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Why These Related Problems?

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