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Finding the Fourth Proportional to 12,464.10, 18,692.10 and 4,142.70

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Solution

The fourth proportional to 12,464.10, 18,692.10 and 4,142.70 is: 6,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.10 : 18,692.10 = 4,142.70 : x
  2. Step 2: Convert to fraction form
    12,464.10/18,692.10 = 4,142.70/x
  3. Step 3: Cross multiply
    12,464.10x = 18,692.10 × 4,142.70
  4. Step 4: Simplify right side
    12,464.10x = 77,435,762.67
  5. Step 5: Solve for x
    x = 77,435,762.67/12,464.10
  6. Step 6: Final answer
    x = 6,212.70

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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.