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Finding the Fourth Proportional to 12,775.21, 17,629.20 and 7,397.38

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Solution

The fourth proportional to 12,775.21, 17,629.20 and 7,397.38 is: 10,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.21 : 17,629.20 = 7,397.38 : x
  2. Step 2: Convert to fraction form
    12,775.21/17,629.20 = 7,397.38/x
  3. Step 3: Cross multiply
    12,775.21x = 17,629.20 × 7,397.38
  4. Step 4: Simplify right side
    12,775.21x = 130,409,891.50
  5. Step 5: Solve for x
    x = 130,409,891.50/12,775.21
  6. Step 6: Final answer
    x = 10,208.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.