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Finding the Fourth Proportional to 16,660, 24,989.16 and 5,567.84

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Solution

The fourth proportional to 16,660, 24,989.16 and 5,567.84 is: 8,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,660 : 24,989.16 = 5,567.84 : x
  2. Step 2: Convert to fraction form
    16,660/24,989.16 = 5,567.84/x
  3. Step 3: Cross multiply
    16,660x = 24,989.16 × 5,567.84
  4. Step 4: Simplify right side
    16,660x = 139,135,644.61
  5. Step 5: Solve for x
    x = 139,135,644.61/16,660
  6. Step 6: Final answer
    x = 8,351.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.