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Finding the Fourth Proportional to 21,382.09, 32,076.99 and 7,338.49

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Solution

The fourth proportional to 21,382.09, 32,076.99 and 7,338.49 is: 11,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.09 : 32,076.99 = 7,338.49 : x
  2. Step 2: Convert to fraction form
    21,382.09/32,076.99 = 7,338.49/x
  3. Step 3: Cross multiply
    21,382.09x = 32,076.99 × 7,338.49
  4. Step 4: Simplify right side
    21,382.09x = 235,396,670.35
  5. Step 5: Solve for x
    x = 235,396,670.35/21,382.09
  6. Step 6: Final answer
    x = 11,009.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.