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Finding the Fourth Proportional to 16,340.70, 24,493.50 and 6,466.26

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Solution

The fourth proportional to 16,340.70, 24,493.50 and 6,466.26 is: 9,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.70 : 24,493.50 = 6,466.26 : x
  2. Step 2: Convert to fraction form
    16,340.70/24,493.50 = 6,466.26/x
  3. Step 3: Cross multiply
    16,340.70x = 24,493.50 × 6,466.26
  4. Step 4: Simplify right side
    16,340.70x = 158,381,339.31
  5. Step 5: Solve for x
    x = 158,381,339.31/16,340.70
  6. Step 6: Final answer
    x = 9,692.45

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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.