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Finding the Fourth Proportional to 14,103.48, 21,154 and 5,338.48

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Solution

The fourth proportional to 14,103.48, 21,154 and 5,338.48 is: 8,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.48 : 21,154 = 5,338.48 : x
  2. Step 2: Convert to fraction form
    14,103.48/21,154 = 5,338.48/x
  3. Step 3: Cross multiply
    14,103.48x = 21,154 × 5,338.48
  4. Step 4: Simplify right side
    14,103.48x = 112,930,205.92
  5. Step 5: Solve for x
    x = 112,930,205.92/14,103.48
  6. Step 6: Final answer
    x = 8,007.26

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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.