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Finding the Fourth Proportional to 12,182, 16,814.31 and 7,943.63

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Solution

The fourth proportional to 12,182, 16,814.31 and 7,943.63 is: 10,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182 : 16,814.31 = 7,943.63 : x
  2. Step 2: Convert to fraction form
    12,182/16,814.31 = 7,943.63/x
  3. Step 3: Cross multiply
    12,182x = 16,814.31 × 7,943.63
  4. Step 4: Simplify right side
    12,182x = 133,566,657.35
  5. Step 5: Solve for x
    x = 133,566,657.35/12,182
  6. Step 6: Final answer
    x = 10,964.26

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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.