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Finding the Fourth Proportional to 16,274.64, 22,464.48 and 11,572.56

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Solution

The fourth proportional to 16,274.64, 22,464.48 and 11,572.56 is: 15,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.64 : 22,464.48 = 11,572.56 : x
  2. Step 2: Convert to fraction form
    16,274.64/22,464.48 = 11,572.56/x
  3. Step 3: Cross multiply
    16,274.64x = 22,464.48 × 11,572.56
  4. Step 4: Simplify right side
    16,274.64x = 259,971,542.67
  5. Step 5: Solve for x
    x = 259,971,542.67/16,274.64
  6. Step 6: Final answer
    x = 15,974.03

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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.