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Finding the Fourth Proportional to 12,143.31, 16,757.31 and 6,838.35

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Solution

The fourth proportional to 12,143.31, 16,757.31 and 6,838.35 is: 9,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.31 : 16,757.31 = 6,838.35 : x
  2. Step 2: Convert to fraction form
    12,143.31/16,757.31 = 6,838.35/x
  3. Step 3: Cross multiply
    12,143.31x = 16,757.31 × 6,838.35
  4. Step 4: Simplify right side
    12,143.31x = 114,592,350.84
  5. Step 5: Solve for x
    x = 114,592,350.84/12,143.31
  6. Step 6: Final answer
    x = 9,436.67

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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.