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Finding the Fourth Proportional to 13,604.25, 18,768.51 and 7,857.91

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Solution

The fourth proportional to 13,604.25, 18,768.51 and 7,857.91 is: 10,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.25 : 18,768.51 = 7,857.91 : x
  2. Step 2: Convert to fraction form
    13,604.25/18,768.51 = 7,857.91/x
  3. Step 3: Cross multiply
    13,604.25x = 18,768.51 × 7,857.91
  4. Step 4: Simplify right side
    13,604.25x = 147,481,285.87
  5. Step 5: Solve for x
    x = 147,481,285.87/13,604.25
  6. Step 6: Final answer
    x = 10,840.82

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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.