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Finding the Fourth Proportional to 12,407.86, 17,131.79 and 7,634.23

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Solution

The fourth proportional to 12,407.86, 17,131.79 and 7,634.23 is: 10,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.86 : 17,131.79 = 7,634.23 : x
  2. Step 2: Convert to fraction form
    12,407.86/17,131.79 = 7,634.23/x
  3. Step 3: Cross multiply
    12,407.86x = 17,131.79 × 7,634.23
  4. Step 4: Simplify right side
    12,407.86x = 130,788,001.43
  5. Step 5: Solve for x
    x = 130,788,001.43/12,407.86
  6. Step 6: Final answer
    x = 10,540.74

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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.