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Finding the Fourth Proportional to 12,296.35, 16,970.40 and 6,991.96

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Solution

The fourth proportional to 12,296.35, 16,970.40 and 6,991.96 is: 9,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.35 : 16,970.40 = 6,991.96 : x
  2. Step 2: Convert to fraction form
    12,296.35/16,970.40 = 6,991.96/x
  3. Step 3: Cross multiply
    12,296.35x = 16,970.40 × 6,991.96
  4. Step 4: Simplify right side
    12,296.35x = 118,656,357.98
  5. Step 5: Solve for x
    x = 118,656,357.98/12,296.35
  6. Step 6: Final answer
    x = 9,649.72

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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.