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Finding the Fourth Proportional to 15,523.68, 21,422.76 and 8,450.16

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Solution

The fourth proportional to 15,523.68, 21,422.76 and 8,450.16 is: 11,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523.68 : 21,422.76 = 8,450.16 : x
  2. Step 2: Convert to fraction form
    15,523.68/21,422.76 = 8,450.16/x
  3. Step 3: Cross multiply
    15,523.68x = 21,422.76 × 8,450.16
  4. Step 4: Simplify right side
    15,523.68x = 181,025,749.64
  5. Step 5: Solve for x
    x = 181,025,749.64/15,523.68
  6. Step 6: Final answer
    x = 11,661.27

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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.