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Finding the Fourth Proportional to 13,098.83, 18,076.75 and 7,433.82

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Solution

The fourth proportional to 13,098.83, 18,076.75 and 7,433.82 is: 10,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.83 : 18,076.75 = 7,433.82 : x
  2. Step 2: Convert to fraction form
    13,098.83/18,076.75 = 7,433.82/x
  3. Step 3: Cross multiply
    13,098.83x = 18,076.75 × 7,433.82
  4. Step 4: Simplify right side
    13,098.83x = 134,379,305.69
  5. Step 5: Solve for x
    x = 134,379,305.69/13,098.83
  6. Step 6: Final answer
    x = 10,258.88

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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.