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Finding the Fourth Proportional to 12,143.12, 16,758.09 and 6,838.32

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Solution

The fourth proportional to 12,143.12, 16,758.09 and 6,838.32 is: 9,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.12 : 16,758.09 = 6,838.32 : x
  2. Step 2: Convert to fraction form
    12,143.12/16,758.09 = 6,838.32/x
  3. Step 3: Cross multiply
    12,143.12x = 16,758.09 × 6,838.32
  4. Step 4: Simplify right side
    12,143.12x = 114,597,244.85
  5. Step 5: Solve for x
    x = 114,597,244.85/12,143.12
  6. Step 6: Final answer
    x = 9,437.22

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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.