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Finding the Fourth Proportional to 16,782.78, 25,175.10 and 5,537.67

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Solution

The fourth proportional to 16,782.78, 25,175.10 and 5,537.67 is: 8,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.78 : 25,175.10 = 5,537.67 : x
  2. Step 2: Convert to fraction form
    16,782.78/25,175.10 = 5,537.67/x
  3. Step 3: Cross multiply
    16,782.78x = 25,175.10 × 5,537.67
  4. Step 4: Simplify right side
    16,782.78x = 139,411,396.02
  5. Step 5: Solve for x
    x = 139,411,396.02/16,782.78
  6. Step 6: Final answer
    x = 8,306.81

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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.