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Finding the Fourth Proportional to 16,266.18, 24,402.73 and 5,735.78

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Solution

The fourth proportional to 16,266.18, 24,402.73 and 5,735.78 is: 8,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.18 : 24,402.73 = 5,735.78 : x
  2. Step 2: Convert to fraction form
    16,266.18/24,402.73 = 5,735.78/x
  3. Step 3: Cross multiply
    16,266.18x = 24,402.73 × 5,735.78
  4. Step 4: Simplify right side
    16,266.18x = 139,968,690.68
  5. Step 5: Solve for x
    x = 139,968,690.68/16,266.18
  6. Step 6: Final answer
    x = 8,604.89

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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.