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Finding the Fourth Proportional to 15,494.96, 21,382.17 and 8,421.33

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Solution

The fourth proportional to 15,494.96, 21,382.17 and 8,421.33 is: 11,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.96 : 21,382.17 = 8,421.33 : x
  2. Step 2: Convert to fraction form
    15,494.96/21,382.17 = 8,421.33/x
  3. Step 3: Cross multiply
    15,494.96x = 21,382.17 × 8,421.33
  4. Step 4: Simplify right side
    15,494.96x = 180,066,309.69
  5. Step 5: Solve for x
    x = 180,066,309.69/15,494.96
  6. Step 6: Final answer
    x = 11,620.96

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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.