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Finding the Fourth Proportional to 12,195.44, 16,827.04 and 7,946.08

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Solution

The fourth proportional to 12,195.44, 16,827.04 and 7,946.08 is: 10,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.44 : 16,827.04 = 7,946.08 : x
  2. Step 2: Convert to fraction form
    12,195.44/16,827.04 = 7,946.08/x
  3. Step 3: Cross multiply
    12,195.44x = 16,827.04 × 7,946.08
  4. Step 4: Simplify right side
    12,195.44x = 133,709,006.00
  5. Step 5: Solve for x
    x = 133,709,006.00/12,195.44
  6. Step 6: Final answer
    x = 10,963.85

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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.