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Finding the Fourth Proportional to 12,285.33, 16,953.81 and 6,980.43

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Solution

The fourth proportional to 12,285.33, 16,953.81 and 6,980.43 is: 9,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.33 : 16,953.81 = 6,980.43 : x
  2. Step 2: Convert to fraction form
    12,285.33/16,953.81 = 6,980.43/x
  3. Step 3: Cross multiply
    12,285.33x = 16,953.81 × 6,980.43
  4. Step 4: Simplify right side
    12,285.33x = 118,344,883.94
  5. Step 5: Solve for x
    x = 118,344,883.94/12,285.33
  6. Step 6: Final answer
    x = 9,633.02

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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.