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Finding the Fourth Proportional to 14,896.83, 20,557.61 and 8,182.46

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Solution

The fourth proportional to 14,896.83, 20,557.61 and 8,182.46 is: 11,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.83 : 20,557.61 = 8,182.46 : x
  2. Step 2: Convert to fraction form
    14,896.83/20,557.61 = 8,182.46/x
  3. Step 3: Cross multiply
    14,896.83x = 20,557.61 × 8,182.46
  4. Step 4: Simplify right side
    14,896.83x = 168,211,718.73
  5. Step 5: Solve for x
    x = 168,211,718.73/14,896.83
  6. Step 6: Final answer
    x = 11,291.78

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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.