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Finding the Fourth Proportional to 12,195.23, 16,829.73 and 7,476.75

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Solution

The fourth proportional to 12,195.23, 16,829.73 and 7,476.75 is: 10,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.23 : 16,829.73 = 7,476.75 : x
  2. Step 2: Convert to fraction form
    12,195.23/16,829.73 = 7,476.75/x
  3. Step 3: Cross multiply
    12,195.23x = 16,829.73 × 7,476.75
  4. Step 4: Simplify right side
    12,195.23x = 125,831,683.78
  5. Step 5: Solve for x
    x = 125,831,683.78/12,195.23
  6. Step 6: Final answer
    x = 10,318.11

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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.