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Finding the Fourth Proportional to 12,025.41, 16,595.11 and 6,992.58

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Solution

The fourth proportional to 12,025.41, 16,595.11 and 6,992.58 is: 9,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.41 : 16,595.11 = 6,992.58 : x
  2. Step 2: Convert to fraction form
    12,025.41/16,595.11 = 6,992.58/x
  3. Step 3: Cross multiply
    12,025.41x = 16,595.11 × 6,992.58
  4. Step 4: Simplify right side
    12,025.41x = 116,042,634.28
  5. Step 5: Solve for x
    x = 116,042,634.28/12,025.41
  6. Step 6: Final answer
    x = 9,649.79

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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.