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Finding the Fourth Proportional to 14,118.52, 21,183.72 and 7,105

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Solution

The fourth proportional to 14,118.52, 21,183.72 and 7,105 is: 10,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.52 : 21,183.72 = 7,105 : x
  2. Step 2: Convert to fraction form
    14,118.52/21,183.72 = 7,105/x
  3. Step 3: Cross multiply
    14,118.52x = 21,183.72 × 7,105
  4. Step 4: Simplify right side
    14,118.52x = 150,510,330.60
  5. Step 5: Solve for x
    x = 150,510,330.60/14,118.52
  6. Step 6: Final answer
    x = 10,660.49

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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.