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Finding the Fourth Proportional to 18,346.94, 27,515 and 7,816.84

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Solution

The fourth proportional to 18,346.94, 27,515 and 7,816.84 is: 11,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346.94 : 27,515 = 7,816.84 : x
  2. Step 2: Convert to fraction form
    18,346.94/27,515 = 7,816.84/x
  3. Step 3: Cross multiply
    18,346.94x = 27,515 × 7,816.84
  4. Step 4: Simplify right side
    18,346.94x = 215,080,352.60
  5. Step 5: Solve for x
    x = 215,080,352.60/18,346.94
  6. Step 6: Final answer
    x = 11,722.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.