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Finding the Fourth Proportional to 21,382.41, 32,077.47 and 7,338.81

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Solution

The fourth proportional to 21,382.41, 32,077.47 and 7,338.81 is: 11,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.41 : 32,077.47 = 7,338.81 : x
  2. Step 2: Convert to fraction form
    21,382.41/32,077.47 = 7,338.81/x
  3. Step 3: Cross multiply
    21,382.41x = 32,077.47 × 7,338.81
  4. Step 4: Simplify right side
    21,382.41x = 235,410,605.42
  5. Step 5: Solve for x
    x = 235,410,605.42/21,382.41
  6. Step 6: Final answer
    x = 11,009.54

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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.