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Finding the Fourth Proportional to 12,065.17, 16,651.31 and 7,349.46

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Solution

The fourth proportional to 12,065.17, 16,651.31 and 7,349.46 is: 10,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.17 : 16,651.31 = 7,349.46 : x
  2. Step 2: Convert to fraction form
    12,065.17/16,651.31 = 7,349.46/x
  3. Step 3: Cross multiply
    12,065.17x = 16,651.31 × 7,349.46
  4. Step 4: Simplify right side
    12,065.17x = 122,378,136.79
  5. Step 5: Solve for x
    x = 122,378,136.79/12,065.17
  6. Step 6: Final answer
    x = 10,143.09

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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.