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Finding the Fourth Proportional to 16,777.97, 23,153.87 and 9,224.63

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Solution

The fourth proportional to 16,777.97, 23,153.87 and 9,224.63 is: 12,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.97 : 23,153.87 = 9,224.63 : x
  2. Step 2: Convert to fraction form
    16,777.97/23,153.87 = 9,224.63/x
  3. Step 3: Cross multiply
    16,777.97x = 23,153.87 × 9,224.63
  4. Step 4: Simplify right side
    16,777.97x = 213,585,837.69
  5. Step 5: Solve for x
    x = 213,585,837.69/16,777.97
  6. Step 6: Final answer
    x = 12,730.14

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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.