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Finding the Fourth Proportional to 12,297.15, 16,969.10 and 6,990.84

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Solution

The fourth proportional to 12,297.15, 16,969.10 and 6,990.84 is: 9,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.15 : 16,969.10 = 6,990.84 : x
  2. Step 2: Convert to fraction form
    12,297.15/16,969.10 = 6,990.84/x
  3. Step 3: Cross multiply
    12,297.15x = 16,969.10 × 6,990.84
  4. Step 4: Simplify right side
    12,297.15x = 118,628,228.09
  5. Step 5: Solve for x
    x = 118,628,228.09/12,297.15
  6. Step 6: Final answer
    x = 9,646.81

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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.