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Finding the Fourth Proportional to 12,143.78, 16,756.56 and 6,838.46

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Solution

The fourth proportional to 12,143.78, 16,756.56 and 6,838.46 is: 9,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.78 : 16,756.56 = 6,838.46 : x
  2. Step 2: Convert to fraction form
    12,143.78/16,756.56 = 6,838.46/x
  3. Step 3: Cross multiply
    12,143.78x = 16,756.56 × 6,838.46
  4. Step 4: Simplify right side
    12,143.78x = 114,589,065.30
  5. Step 5: Solve for x
    x = 114,589,065.30/12,143.78
  6. Step 6: Final answer
    x = 9,436.03

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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.