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Finding the Fourth Proportional to 12,285.72, 16,950.31 and 7,251.61

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Solution

The fourth proportional to 12,285.72, 16,950.31 and 7,251.61 is: 10,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.72 : 16,950.31 = 7,251.61 : x
  2. Step 2: Convert to fraction form
    12,285.72/16,950.31 = 7,251.61/x
  3. Step 3: Cross multiply
    12,285.72x = 16,950.31 × 7,251.61
  4. Step 4: Simplify right side
    12,285.72x = 122,917,037.50
  5. Step 5: Solve for x
    x = 122,917,037.50/12,285.72
  6. Step 6: Final answer
    x = 10,004.87

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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.