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Finding the Fourth Proportional to 18,312.14, 27,468.30 and 7,779.44

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Solution

The fourth proportional to 18,312.14, 27,468.30 and 7,779.44 is: 11,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312.14 : 27,468.30 = 7,779.44 : x
  2. Step 2: Convert to fraction form
    18,312.14/27,468.30 = 7,779.44/x
  3. Step 3: Cross multiply
    18,312.14x = 27,468.30 × 7,779.44
  4. Step 4: Simplify right side
    18,312.14x = 213,687,991.75
  5. Step 5: Solve for x
    x = 213,687,991.75/18,312.14
  6. Step 6: Final answer
    x = 11,669.20

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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.