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Finding the Fourth Proportional to 16,213.51, 22,375.27 and 9,139.78

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Solution

The fourth proportional to 16,213.51, 22,375.27 and 9,139.78 is: 12,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.51 : 22,375.27 = 9,139.78 : x
  2. Step 2: Convert to fraction form
    16,213.51/22,375.27 = 9,139.78/x
  3. Step 3: Cross multiply
    16,213.51x = 22,375.27 × 9,139.78
  4. Step 4: Simplify right side
    16,213.51x = 204,505,084.63
  5. Step 5: Solve for x
    x = 204,505,084.63/16,213.51
  6. Step 6: Final answer
    x = 12,613.25

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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.