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Finding the Fourth Proportional to 12,634.77, 17,421.54 and 8,091.48

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Solution

The fourth proportional to 12,634.77, 17,421.54 and 8,091.48 is: 11,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.77 : 17,421.54 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    12,634.77/17,421.54 = 8,091.48/x
  3. Step 3: Cross multiply
    12,634.77x = 17,421.54 × 8,091.48
  4. Step 4: Simplify right side
    12,634.77x = 140,966,042.48
  5. Step 5: Solve for x
    x = 140,966,042.48/12,634.77
  6. Step 6: Final answer
    x = 11,156.99

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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.