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Finding the Fourth Proportional to 18,517.32, 27,779.82 and 6,205

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Solution

The fourth proportional to 18,517.32, 27,779.82 and 6,205 is: 9,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.32 : 27,779.82 = 6,205 : x
  2. Step 2: Convert to fraction form
    18,517.32/27,779.82 = 6,205/x
  3. Step 3: Cross multiply
    18,517.32x = 27,779.82 × 6,205
  4. Step 4: Simplify right side
    18,517.32x = 172,373,783.10
  5. Step 5: Solve for x
    x = 172,373,783.10/18,517.32
  6. Step 6: Final answer
    x = 9,308.79

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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.