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Finding the Fourth Proportional to 13,203.76, 18,222.84 and 7,616.56

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Solution

The fourth proportional to 13,203.76, 18,222.84 and 7,616.56 is: 10,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.76 : 18,222.84 = 7,616.56 : x
  2. Step 2: Convert to fraction form
    13,203.76/18,222.84 = 7,616.56/x
  3. Step 3: Cross multiply
    13,203.76x = 18,222.84 × 7,616.56
  4. Step 4: Simplify right side
    13,203.76x = 138,795,354.23
  5. Step 5: Solve for x
    x = 138,795,354.23/13,203.76
  6. Step 6: Final answer
    x = 10,511.81

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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.