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Finding the Fourth Proportional to 12,405.46, 17,122.24 and 7,629.51

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Solution

The fourth proportional to 12,405.46, 17,122.24 and 7,629.51 is: 10,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.46 : 17,122.24 = 7,629.51 : x
  2. Step 2: Convert to fraction form
    12,405.46/17,122.24 = 7,629.51/x
  3. Step 3: Cross multiply
    12,405.46x = 17,122.24 × 7,629.51
  4. Step 4: Simplify right side
    12,405.46x = 130,634,301.30
  5. Step 5: Solve for x
    x = 130,634,301.30/12,405.46
  6. Step 6: Final answer
    x = 10,530.39

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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.