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Finding the Fourth Proportional to 15,709.46, 21,678.77 and 8,635.73

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Solution

The fourth proportional to 15,709.46, 21,678.77 and 8,635.73 is: 11,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.46 : 21,678.77 = 8,635.73 : x
  2. Step 2: Convert to fraction form
    15,709.46/21,678.77 = 8,635.73/x
  3. Step 3: Cross multiply
    15,709.46x = 21,678.77 × 8,635.73
  4. Step 4: Simplify right side
    15,709.46x = 187,211,917.65
  5. Step 5: Solve for x
    x = 187,211,917.65/15,709.46
  6. Step 6: Final answer
    x = 11,917.15

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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.