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Finding the Fourth Proportional to 18,536.58, 27,807.30 and 9,771.84

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Solution

The fourth proportional to 18,536.58, 27,807.30 and 9,771.84 is: 14,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.58 : 27,807.30 = 9,771.84 : x
  2. Step 2: Convert to fraction form
    18,536.58/27,807.30 = 9,771.84/x
  3. Step 3: Cross multiply
    18,536.58x = 27,807.30 × 9,771.84
  4. Step 4: Simplify right side
    18,536.58x = 271,728,486.43
  5. Step 5: Solve for x
    x = 271,728,486.43/18,536.58
  6. Step 6: Final answer
    x = 14,659.04

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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.