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Finding the Fourth Proportional to 12,298.31, 16,970.11 and 6,993.24

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Solution

The fourth proportional to 12,298.31, 16,970.11 and 6,993.24 is: 9,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.31 : 16,970.11 = 6,993.24 : x
  2. Step 2: Convert to fraction form
    12,298.31/16,970.11 = 6,993.24/x
  3. Step 3: Cross multiply
    12,298.31x = 16,970.11 × 6,993.24
  4. Step 4: Simplify right side
    12,298.31x = 118,676,105.73
  5. Step 5: Solve for x
    x = 118,676,105.73/12,298.31
  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.