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Finding the Fourth Proportional to 18,311.34, 27,461.51 and 7,781.24

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Solution

The fourth proportional to 18,311.34, 27,461.51 and 7,781.24 is: 11,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.34 : 27,461.51 = 7,781.24 : x
  2. Step 2: Convert to fraction form
    18,311.34/27,461.51 = 7,781.24/x
  3. Step 3: Cross multiply
    18,311.34x = 27,461.51 × 7,781.24
  4. Step 4: Simplify right side
    18,311.34x = 213,684,559.88
  5. Step 5: Solve for x
    x = 213,684,559.88/18,311.34
  6. Step 6: Final answer
    x = 11,669.52

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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.