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Finding the Fourth Proportional to 12,774.82, 17,632.74 and 8,298.34

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Solution

The fourth proportional to 12,774.82, 17,632.74 and 8,298.34 is: 11,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.82 : 17,632.74 = 8,298.34 : x
  2. Step 2: Convert to fraction form
    12,774.82/17,632.74 = 8,298.34/x
  3. Step 3: Cross multiply
    12,774.82x = 17,632.74 × 8,298.34
  4. Step 4: Simplify right side
    12,774.82x = 146,322,471.65
  5. Step 5: Solve for x
    x = 146,322,471.65/12,774.82
  6. Step 6: Final answer
    x = 11,453.98

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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.