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Finding the Fourth Proportional to 14,634, 21,940.02 and 4,767.42

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Solution

The fourth proportional to 14,634, 21,940.02 and 4,767.42 is: 7,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634 : 21,940.02 = 4,767.42 : x
  2. Step 2: Convert to fraction form
    14,634/21,940.02 = 4,767.42/x
  3. Step 3: Cross multiply
    14,634x = 21,940.02 × 4,767.42
  4. Step 4: Simplify right side
    14,634x = 104,597,290.15
  5. Step 5: Solve for x
    x = 104,597,290.15/14,634
  6. Step 6: Final answer
    x = 7,147.55

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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.