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Finding the Fourth Proportional to 16,399.70, 24,577.78 and 6,533.58

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Solution

The fourth proportional to 16,399.70, 24,577.78 and 6,533.58 is: 9,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.70 : 24,577.78 = 6,533.58 : x
  2. Step 2: Convert to fraction form
    16,399.70/24,577.78 = 6,533.58/x
  3. Step 3: Cross multiply
    16,399.70x = 24,577.78 × 6,533.58
  4. Step 4: Simplify right side
    16,399.70x = 160,580,891.85
  5. Step 5: Solve for x
    x = 160,580,891.85/16,399.70
  6. Step 6: Final answer
    x = 9,791.70

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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.