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Finding the Fourth Proportional to 16,255.12, 24,384.68 and 5,722.64

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Solution

The fourth proportional to 16,255.12, 24,384.68 and 5,722.64 is: 8,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.12 : 24,384.68 = 5,722.64 : x
  2. Step 2: Convert to fraction form
    16,255.12/24,384.68 = 5,722.64/x
  3. Step 3: Cross multiply
    16,255.12x = 24,384.68 × 5,722.64
  4. Step 4: Simplify right side
    16,255.12x = 139,544,745.16
  5. Step 5: Solve for x
    x = 139,544,745.16/16,255.12
  6. Step 6: Final answer
    x = 8,584.66

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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.