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Finding the Fourth Proportional to 16,153.98, 24,231.21 and 4,308

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Solution

The fourth proportional to 16,153.98, 24,231.21 and 4,308 is: 6,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.98 : 24,231.21 = 4,308 : x
  2. Step 2: Convert to fraction form
    16,153.98/24,231.21 = 4,308/x
  3. Step 3: Cross multiply
    16,153.98x = 24,231.21 × 4,308
  4. Step 4: Simplify right side
    16,153.98x = 104,388,052.68
  5. Step 5: Solve for x
    x = 104,388,052.68/16,153.98
  6. Step 6: Final answer
    x = 6,462.06

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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.