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Finding the Fourth Proportional to 12,434, 17,162.12 and 7,131.72

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Solution

The fourth proportional to 12,434, 17,162.12 and 7,131.72 is: 9,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434 : 17,162.12 = 7,131.72 : x
  2. Step 2: Convert to fraction form
    12,434/17,162.12 = 7,131.72/x
  3. Step 3: Cross multiply
    12,434x = 17,162.12 × 7,131.72
  4. Step 4: Simplify right side
    12,434x = 122,395,434.45
  5. Step 5: Solve for x
    x = 122,395,434.45/12,434
  6. Step 6: Final answer
    x = 9,843.61

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