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Finding the Fourth Proportional to 12,296.75, 16,970.31 and 6,992.06

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Solution

The fourth proportional to 12,296.75, 16,970.31 and 6,992.06 is: 9,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.75 : 16,970.31 = 6,992.06 : x
  2. Step 2: Convert to fraction form
    12,296.75/16,970.31 = 6,992.06/x
  3. Step 3: Cross multiply
    12,296.75x = 16,970.31 × 6,992.06
  4. Step 4: Simplify right side
    12,296.75x = 118,657,340.89
  5. Step 5: Solve for x
    x = 118,657,340.89/12,296.75
  6. Step 6: Final answer
    x = 9,649.49

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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.