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Finding the Fourth Proportional to 21,382.81, 32,066.24 and 7,338.86

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Solution

The fourth proportional to 21,382.81, 32,066.24 and 7,338.86 is: 11,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.81 : 32,066.24 = 7,338.86 : x
  2. Step 2: Convert to fraction form
    21,382.81/32,066.24 = 7,338.86/x
  3. Step 3: Cross multiply
    21,382.81x = 32,066.24 × 7,338.86
  4. Step 4: Simplify right side
    21,382.81x = 235,329,504.10
  5. Step 5: Solve for x
    x = 235,329,504.10/21,382.81
  6. Step 6: Final answer
    x = 11,005.54

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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.