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Finding the Fourth Proportional to 16,461.26, 22,728.74 and 10,096.63

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Solution

The fourth proportional to 16,461.26, 22,728.74 and 10,096.63 is: 13,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.26 : 22,728.74 = 10,096.63 : x
  2. Step 2: Convert to fraction form
    16,461.26/22,728.74 = 10,096.63/x
  3. Step 3: Cross multiply
    16,461.26x = 22,728.74 × 10,096.63
  4. Step 4: Simplify right side
    16,461.26x = 229,483,646.57
  5. Step 5: Solve for x
    x = 229,483,646.57/16,461.26
  6. Step 6: Final answer
    x = 13,940.84

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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.