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Finding the Fourth Proportional to 16,464.36, 24,692.12 and 4,617.48

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Solution

The fourth proportional to 16,464.36, 24,692.12 and 4,617.48 is: 6,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.36 : 24,692.12 = 4,617.48 : x
  2. Step 2: Convert to fraction form
    16,464.36/24,692.12 = 4,617.48/x
  3. Step 3: Cross multiply
    16,464.36x = 24,692.12 × 4,617.48
  4. Step 4: Simplify right side
    16,464.36x = 114,015,370.26
  5. Step 5: Solve for x
    x = 114,015,370.26/16,464.36
  6. Step 6: Final answer
    x = 6,924.98

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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.