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Finding the Fourth Proportional to 12,143.73, 16,758.03 and 6,838.23

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Solution

The fourth proportional to 12,143.73, 16,758.03 and 6,838.23 is: 9,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.73 : 16,758.03 = 6,838.23 : x
  2. Step 2: Convert to fraction form
    12,143.73/16,758.03 = 6,838.23/x
  3. Step 3: Cross multiply
    12,143.73x = 16,758.03 × 6,838.23
  4. Step 4: Simplify right side
    12,143.73x = 114,595,263.49
  5. Step 5: Solve for x
    x = 114,595,263.49/12,143.73
  6. Step 6: Final answer
    x = 9,436.58

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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.